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Math 8 – Assignment #10
Name
Chapter 9 – Right Triangles
Date
Without using a calculator, write both solutions for each square root.
1.
1
2.
169 
49

196
3.
4.
Without using a calculator, estimate the square root of 30.
5.
What is the closest perfect square to 130?
6.
List the first seven even perfect squares. ____, ____, ____, ____, ____, ____ & ____.
Solve each equation using inverse operations and write only the positive solution.
7.
x2 – 23 = 2
8.
y2 + 7 = 88
9.
z2 – 15 = 129
State whether each of the following numbers are rational or irrational.
10.
9
20
11.
44
12.
14.
0.0625
15.

4
9
13.
50
16.
Order
17.
Explain why the length of the hypotenuse of a right triangle cannot be 20 meters when
the legs are 5 meters and 11 meters.
1.44
8 , – 16 , 4, 2 and – 4 from least to greatest.
________________________________________________________________________
________________________________________________________________________
Find the missing length if a and b are legs of a right triangle and c is the hypotenuse.
When necessary, round your answers to the nearest tenth.
18.
a = 10 and b = 17
19.
b = 36 and c = 39
Find the missing side of each right triangle. Round your answers to the nearest tenth.
20.
21.
x
15
42
x
17
13
21 meters and a width of
22.
A rectangle has a length of
the diagonal.
23.
Find the perimeter of the following rectangle.
26 m
24 m
28 meters. Find the length of
Use the right triangle below to find each of the following ratios in simplest form.
A
29
20
C
21
B
24.
Sine A
25.
Cosine A
26.
Tangent A
27.
Sine B
28.
Cosine B
29.
Tangent B
Use the given trigonometric ratios to find the measures of each side of the triangles.
30.
Sin A =
4
3
and cos A = .
5
5
31.
Tan A =
A
C
32.
5
12
and sin B =
.
5
13
A
B
B
C
Use trigonometry to find the height of a flagpole that casts a shadow 24 feet long and
makes an angle with the sun of 40o. Round your answer to the nearest tenth.