How do you find the answer to a right triangle?

The Pythagorean Theorem gives us a 2 + b 2 = c 2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b 2 = 14 2 – 5 2 = 171. Therefore b is equal to the square root of 171 or approximately 13.07.

What are the properties of special right triangles?

Angle-based special right triangles are specified by the relationships of the angles of which the triangle is composed. The angles of these triangles are such that the larger (right) angle, which is 90 degrees or π/2 radians, is equal to the sum of the other two angles .

What are the different ways in finding the unknown parts of a right triangle?

Solving right triangles We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts. Pythagorean theorem: a 2 + b 2 = c 2 . Sines: sin A = a/c, sin B = b/c. Cosines: cos A = b/c, cos B = a/c.

What is the special right triangle side formula?

The formula for the 2 types of special right triangles is expressed in the form of the ratio of the sides and can be written as follows: 30° 60° 90° triangle formula: Short leg: Long leg : Hypotenuse = x: x√3: 2x . 45° 45° 90° triangle formula: Leg : Leg: Hypotenuse = x: x: x√2.

Does 3/4/5 make a right triangle?

The 3-4-5 triangle is the simplest Pythagorean Triple because it has the smallest whole number side lengths. The 3-4-5 triangle rule states when the ratio 3:4:5 is present as the side lengths of a triangle, the triangle is a right triangle .

What is the formula for a right triangle?

FAQs on Right Triangle Formulas These formulas are given as: Pythagoras Theorem - Formula: (Hypotenuse) 2 = (Perpendicular) 2 + (Base) Area of a right triangle formula: Area = 1/2 × Base × Height. Perimeter of a right triangle formula = Sum of lengths of 3 sides.

How to find hypotenuse?

To find the hypotenuse, add the squares of the other sides, then take the square root . To find a shorter side, subtract the squares of the other sides, then take the square root.

Which side is the longest side in a right triangle?

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.

Does sin only work for right triangles?

Sine Rule. The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known .

What is the formula for triangles?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h .

What is the rule for a 30-60-90 special right triangle?

The statement of the 30-60-90-Triangle Theorem is given as, Statement: The length of the hypotenuse is twice the length of the shortest side and the length of the other side is √3 times the length of the shortest side in a 30-60-90-Triangle.

How do you solve a 30-60-90 triangle?

To find the side lengths of a 30-60-90 one side must be given. If the shorter side is given, multiply it by 2 to get the hypotenuse, and multiply it by the square root of 3 to get the longer side .

How do you solve word problems involving right triangles?

Step 1: Draw out a simple graphic to represent the word problem, making sure to include a right triangle. Step 2: Label the sides and/or angles of the right triangle that were given in the word problem, and identify what piece of missing information we hope to find. Step 3: Solve for the missing piece of information.

Unit 8: Right Triangles And Trigonometry Homework 2: Special Right TrianglesHELP PLEASE!! (2024)

Mathematics High School

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Answer 1

Answer:

x=50

y=25

Step-by-step explanation:

So for this triangle we can use trig. To find side x (the hypotenuse) we can do sin60 degrees. *remember SOHCAHTOA, so sin is opposite over hypotenuse.

sin60degrees=(25 * sqrt of 3)/x

multiply each side by x to get xsin60degrees=25*sqrt of 3. Then divide both sides by sin60degrees. Plug that in a calculator and you should get 50.

For side y, well you can use the characteristics of 30-60-90 triangles and by doing this we know that the short leg of this type of triangle is HALF of the hypotenuse and half of 50 is 25. If you didn't know this you could still use the cos of 60 degrees and get 25 as well.

Related Questions

TRIANGLE SIMILARITY! pic included ***

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Each triangle has angles 42,48,90.

The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by

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Answer:9ft

Step-by-step explanation:

1.To make paper mache, the art teacher mixes water and flour. For every 2
cups of water, she needs to mix in 3 cups of flour to make the paste. Which
of the following shows an equivalent ratio for the ratio of water to flour? I need an answer quick!!!!

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Answer:

1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio

Step-by-step explanation:

Tell me 5 things you have learned about scientific notation.... pls

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Answer: 1) If the decimal is being moved to the right, the exponent is negative. 2) It’s it’s moved to the left, the exponent is positive.

Step-by-step explanation:

fnejfkenfejdb that’s all I know that is correct.

Tell whether the angles are adjacent or vertical. Then find the value of x

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Answer: The angles are vertical. The value of x=25

Step-by-step explanation:

4x-25=75

+25 +25

4x=100

/4 /4

x=25

I hope this help you! :)

Find the x- and y-intercepts of the graph of -3x + 2y = 36. State your answers as
whole numbers or as improper fractions in simplest form.

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Answer:3x is slope 2y in y int.

Step-by-step explanation:

Determine if the two triangles are congruent. If they are, state how you know.

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Answer:

B) SAS

Step-by-step explanation:

The angles between the two known equal sides are called a vertical angle and are equal. Thus you know Side-Angle-Side proves congruency.

15 points!!!! Find the value of x.
102
54
6x
O A. 8
B. 6
O C. 17
D. 9

Answers

Answer:

A. 8

Step-by-step explanation:

Given,

54° + 6x° = 102°

=> 6x = 102 - 54

=> 6x = 48

[tex] = > x = \frac{48}{6} [/tex]

=> x = 8(Ans)

plz help branniest to whoever is right

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It would be Y=2/B because that’s where the middle point of the parabola is

what is 2838 divisible by?

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It can be divisible by 2, 3, 6, 11 but these are just a few examples :) You can look through factors of 2838 and a bunch of numbers will pop up!!

Answer:

have calculated all the numbers that 2838 is evenly divisible by. The numbers that 2838 is divisible by are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, and 2838. You may also be interested to know that all the numbers that 2838 is divisible by are also known as the factors of 2838.

Evaluate the expression when g = 28 and h=6.
G-3h

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Answer:

hi Ion know but can u help me on my question

Lily ran 1,000 meters in 12 minutes. How many meters/minute did she run?

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Answer:

1,000 divided by 12=

aprox 83.3 meters per minute

How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?

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Answer: 24

Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.

4*6

24 is the answer hope this helps

PLEASE HELP IM BEGGING YOU ITS DUE IN 15 MIN ILL GIVE BRAINEST AND PTS

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answer:

you just have to shrink it down to 4cm then to 2cm

i wish i could help out more, but i would need to have access to the form

hopefully, this helps anyhow :)

good luck

have a great day !!

How the heck do I do this

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Total surface area of a cylinder=2pi(radius)(height)+2pi(radius)square

Help me with this please

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Answer:

Step-by-step explanation:

-3( -5 + 9z) Combine Like Terms Using the Distributive Property

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Answer:

multipy -3to the equation given in brackets

Emily has 6 gallons of water josh has 23 quarts of water. How many more points does Emily have more than josh

Answers

Answer:

2 pints

Step-by-step explanation:

To determine the amount of pints that Emily has more than Josh, gallons and quarts have to be converted to pints and the value is then subtracted

1. Convert gallons and quarts to pints

1 gallon = 8 pints

6 gallons = 8 x 6 = 48 pints

1 quart = 2 pints

23 quarts = 2 x 23 = 46 pints

2. Determine the difference in the amount of pints Emily has and the amount Josh has

48 pints - 46 pints = 2 pints

a rectangle has a area of 24 square untis and a side length of 3/4 units. find the other side of the rectangle.

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Area = length x width
24 = 3/4w
Divide both sides by 3/4
32 = w

The other side is 32 units

30 POINTS!! PLEASE HELP

What is the area of the shape below?

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Answer:

168 square feet

Step-by-step explanation:

A = 18 x 8 + 8 x 6 x 1/2

A = 144 + 24

A = 168

Hope that helps!

Answer:

150

-i just learned that and you have to multiply lenght × width × height

18×8×6 and its 150

Please help I’ll make Brainly answer!!

Answers

Answer:

what they said ^^

Step-by-step explanation:

I did this so no one puts the incorrect answer

Which choice is equivalent to the expression shown below-3(3y-2x)+2(5x-4y)

Answers

Answer:

17y+16x

Step-by-step explanation:

-9y+6x+10x-8y

=17y+16x

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place

Answers

Step-by-step explanation:

I think you have forgotten to attach the question.

Anyways....

In order to find the area of a circle use the formula:

π[tex]r^{2}[/tex] Where r is the radius

For example the radius is 3cm. The area of the circle will be:

π × [tex]3^{2}[/tex]

Since you have taken pi as 3.142...

3.142 × [tex]3^{2}[/tex]

3.142 × 9

= 28.278

In order to find the answer to 1 decimal place, check the number next to the number right after the decimal. Is it a number greater than or equal to 5? then add +1 to the number.

= 28.3 [tex]cm^{2}[/tex]

calculate the force needed to accelerate a car of mass 1500 kg by 5m/s

Answers

Answer:

7500

Step-by-step explanation:

force = Acceleration × Mass

1500×5=7500

Can someone please help me with this problem. Thank you

Answers

Answer:

Step-by-step explanation:

Find the volume and explain your answer round to the nearest tenth!!

Answers

I think the answer is 616m^3

What’s equivalent to 5(2x+6)

Answers

Answer:

5(6+2x)

Step-by-step explanation:

9 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

The last statement is true

Step-by-step explanation:

B :))))))))))))!!!!!1!1!1

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign. Write a list of steps that are needed to find the measure of ∠ B .

Answers

Answer:

32 A becuz ur h a y and u are smart

Write the slope-intercept form of an equation of the line that passes through the given
point and is parallel to the graph of each equation.
(3, 2), y = x + 5

Answers

Answer:

The slope will be y=x-1 because it parallels to y=x+5 and hits point (3,2)

Step-by-step explanation:

Hope This Helped

Unit 8: Right Triangles And Trigonometry Homework 2: Special Right TrianglesHELP PLEASE!! (2024)

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FAQs

How do you find the answer to a right triangle? ›

What is the rule for a 30-60-90 special right triangle? ›