Free Printable Special right triangles and pythagorean theorem

1.

Find the value of m.

a)

10

b)

10√2

c)

20√2

d)

√2

2.

Choose the correct values for x and y in the right triangle.

a)

$x=12$

b)

$x=12\sqrt{2}$

c)

$y\ =\ 24$

d)

$y=12\sqrt{2}$

3.

Choose the correct values for x and y in the right triangle.

a)

$x=18$

b)

$x=9\sqrt{2}$

c)

$y\ =\ 9$

d)

$y=9\sqrt{2}$

4.

Choose the correct values for x and y in the right triangle.

a)

$x=14$

b)

$x=7\sqrt{2}$

c)

$y\ =\ 7$

d)

$y=7\sqrt{2}$

5.

Choose the correct values for x and y in the right triangle.

a)

$x=3$

b)

$x=3\sqrt{2}$

c)

$y\ =\ 6$

d)

$y=6\sqrt{2}$

6.

Choose the correct values for x and y in the right triangle.

a)

$x=4\sqrt{3}$

b)

$x=4$

c)

$y\ =\ 8\sqrt{3}$

d)

$y=4\sqrt{6}$

7.

Choose the correct values for x and y in the right triangle.

a)

$x=3\sqrt{3}$

b)

$x=6$

c)

$y\ =\ 3\sqrt{3}$

d)

$y=6$

8.

Choose the correct values for x and y in the right triangle.

a)

$x=\frac{5\sqrt{6}}{2}$

b)

$x=5$

c)

$y\ =\ 10$

d)

$y=10\sqrt{3}$

9.

Choose the correct values for x and y in the right triangle.

a)

$x=\frac{11\sqrt{3}}{3}$

b)

$x=11$

c)

$y\ =\ 22$

d)

$y=11\sqrt{3}$

10.

Choose the correct values for x and y in the right triangle.

a)

$x=6\sqrt{3}$

b)

$x=9$

c)

$y\ =\ 12\sqrt{3}$

d)

$y=9\sqrt{3}$

11.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

12.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

13.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

14.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

15.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

16.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

17.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

18.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

19.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

20.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

21.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

22.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

23.

Is this a right triangle

a)

Yes

b)

No

Special right triangles and pythagorean theorem

Total questions: 23

Worksheet time: 1hrs 26mins

Similar Resources on Wayground