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Chapter 8 Special Right Triangles

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.
a)
2
b)
12√3
c)
1/2
d)
6√3
2.
a)
x=10√3   y=30
b)
x=10,   y=30√3
c)
x=30√3   y=10
d)
x=30   y=10√3
3.

What is the rule for a 45-45-90 triangle?

a)

x, x, x2x,\ x,\ x\sqrt{2}

b)

x, x3, 2xx,\ x\sqrt{3},\ 2x

4.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
5.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
6.
a)
x=8√3   y=4√3
b)
x=4√3  y=8√3
c)
x=4   y=8
d)
x=8   y=4√3
7.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
8.
Find x.
a)
10
b)
20
c)
10√3
d)
√3
9.
Find x.
a)
12
b)
√2
c)
√3
d)
6
10.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

102\frac{10}{\sqrt{2}}

11.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

12.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
13.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

102\frac{10}{\sqrt{2}}

14.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8