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Fast Track - Pythagorean Theorem and Special Right Triangles

Total questions: 10

Worksheet time: 49mins

Name
Class
Date
1.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
2.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
3.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

4.

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

a)

14.4 feet

b)

7.2 feet

c)

10 feet

d)

20 feet

5.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

6.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

7.

Destiny walks out her door and walks due South 150 yards and then turns due East and walks 200 yard to Samantha’s front door. If Jessica wanted to leave Samantha’s home and walk home without making any turns, how far must she walk?

a)

225 yards

b)

250 yards

c)

300 yards

d)

132 yards

8.

Solve for x.

a)

10√3

b)

15

c)

5√3

d)

15√2

9.

Solve for x.

a)

A

b)

B

c)

C

d)

D

10.
a)

A

b)

B

c)

C

d)

D