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Worksheets

Right Triangles

Total questions: 25

Worksheet time: 38mins

Name
Class
Date
1.

The sides of a right triangle that form the right angle are called:

a)

Sides

b)

Rays

c)

Legs

d)

Right Sides

2.

The hypotenuse is always across from the right angle of a triangle.

a)

False

b)

True

3.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
4.

Find the Perimeter

a)

8.7

b)

17.8

c)

33.7

d)

42.8

5.

Find the area

a)

55

b)

27.5

c)

24.5

d)

49

6.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
7.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

About 25 feet

b)

About 26 feet

c)

About 27 feet

d)

About 28 feet

8.
What is geometric mean of 4 and 9?
a)
5
b)
6
c)
7
d)
8
9.
solve for x
a)
10
b)
12
c)
14
d)
16
10.
Which one of the following is a Pythagorean triple?
a)
21, 27, 35
b)
12, 35, 37
c)
33, 35, 48
d)
34-45-56
11.
Which one of the following is NOT a Pythagorean triple?
a)
7, 24, 25
b)
8, 15, 17
c)
9, 12, 15
d)
10, 16, 19
12.
Area of a triangle.
a)
A=Bh
b)
A=bh
c)
A=½bh
d)
A=½(b₁+b₂)h
13.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
14.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
15.
Find x.
a)
12
b)
√2
c)
√3
d)
6
16.
Find x.
a)
10
b)
20
c)
10√3
d)
√3
17.

In the accompanying diagram, triangle ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD=4 and DB=16 find the length of CD.

a)

0

b)

64

c)

8

d)

32

18.

What is the geometric mean between 64 and 25?

a)

13

b)

3

c)

40

d)

89

19.

What kind of triangle is formed with side lengths of 16, 23, and 34?

a)

Acute triangle

b)

Obtuse triangle

c)

Right Triangle

d)

It doesn't form a triangle at all

20.

What kind of triangle has side lengths of 14, 17, and 21?

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

d)

It doesn't form a triangle at all.

21.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
22.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
23.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
24.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
25.

What is the measure of side c?

a)

7

b)

72\frac{7}{\sqrt{2}}

c)

727\sqrt{2}

d)

14