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Right Triangles !

Total questions: 20

Worksheet time: 21mins

Name
Class
Date
1.

What is a right triangle?

a)

A triangle with one 90 degree angle.

b)

A triangle in which its angle equals 180 degrees.

c)

It's actually called a left triangle, not a right triangle.

d)

A triangle in which its angle equals 360 degrees.

2.

What are the names for each side on a right triangle?

a)

A: leg; B: Hypotenuse; C: Leg

b)

A: Hypotenuse; B: Leg; C: Leg

c)

A: Leg; B: Leg; C: Hypotenuse

d)

A: Leg; B: Leg; C: Leg

3.

Based on the previous answer choice, why is "C" called the hypotenuse of a right triangle?

a)

Because it equals 90 degrees.

b)

Because it's the longest side on a right triangle.

c)

Mathematicians got bored and just named it off the top of their heads. 😂

d)

Because it's adjacent to the 90 degree angle.

4.

Use the Pythagorean Theorem to find the missing length(round to the nearest tenth.)

a)

14.4

b)

12.9

c)

23.7

d)

34.8

5.

Use the Pythagorean Theorem to find the missing length(round to the nearest tenth, if necessary.)

a)

22.5

b)

6

c)

64.9

d)

5.2

6.

Use the Pythagorean Theorem to find the missing length(round to the nearest tenth, if necessary.)

a)

10.1

b)

2.6

c)

9.4

d)

3.5

7.

True or False: You can only use the Pythagorean Theorem to solve right triangles.

a)

True.

b)

False.

8.

What is the length of the diagonal of a 12 cm by 14 cm rectangle?

a)

18.4 cm

b)

5.9 cm

c)

6.1 cm

d)

17.6 cm

9.

A soccer field is a rectangle 70 meters wide and 150 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?

a)

300.2 meters

b)

101.7 meters

c)

900.8 meters

d)

165.5 meters

10.

How can you determine if a triangle is a right triangle?

a)

If the sum of the legs squared is equal to the sum of the hypotenuse squared.

b)

You can't tell.

c)

If one length is greater than another

d)

If one length is lesser than another

11.

How can you determine if a triangle is obtuse?

a)

When a2 + b2 is greater than c2 .

b)

When a2 + b2 is equal to c2.

c)

When a2 + b2 is lesser than c2.

d)

Triangles are only right.

12.

How can you determine if a triangle is acute?

a)

When a2 + b2 equal to c2 .

b)

When a2 + b2 is lesser than c2 .

c)

They can only be right triangles.

d)

When a2 + b2 is greater than c2 .

13.

Do these lengths make a right, obtuse, or acute triangle?


21, 29, 20

a)

Obtuse

b)

Acute

c)

Right

d)

Doesn't make a triangle.

14.

Do these lengths make a right, acute, or obtuse triangle?


2, 3, 6

a)

Obtuse

b)

Right

c)

Acute

d)

Doesn't make a triangle.

15.

Do these lengths make a right, acute, or obtuse triangle?


7, 24, 25

a)

Obtuse

b)

Acute

c)

Doesn't make a triangle.

d)

Right

16.

What methods could you use to solve special right triangles?

a)

43-44-45 and 20-60-90 method

b)

45-45-90 and 30-60-90 method

c)

20-20-20 and 40-40-40 method

d)

9-8-7 and 5-4-3 method

17.

Solve for x.

a)

105√12

b)

64√7

c)

97√1

d)

105√2

18.

Solve for x and y.

a)

x = 4√1; y = 64

b)

x = 20√3; y = 40

c)

x = 45√7; y = 12

d)

x = 12√9; y = 7

19.

Determine the length of a 45 - 45 - 90 triangle with a hypotenuse length of 38.

a)

12√9

b)

2√3

c)

19√2

d)

4√7

20.

Did you enjoy taking this quiz? 😁 (Whatever you choose, I'm happy you took the quiz anyway.)

a)

I did !

b)

I didn't.