Radicals, Trigonometric Ratio & Simplifying Square Roots Page 2
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Chapter Summary and Review continued
Multiply the radicals. Then simplify if possible.
(
)
2
1 3 p 1 3
2 p 7 2
7 p 1 0
4 7
10.
11.
12.
13.
(
)
3 p 1 9
5 p 5
6 p 1 8
2
3 1 1
14.
15.
16.
17.
Simplify the radical expression.
2 7
7 2
1 5 0
6 8
18.
19.
20.
21.
1 0 8
8 0
7 5 0 0
5 0 7
22.
23.
24.
25.
lw to find the area of the rectangle. Round your
Use the formula A
answer to the nearest tenth.
26.
27.
28.
3 3
10
2 5
4 6
5 2
2 2
Examples on
10.2
45 -45 -90 T
RIANGLES
pp. 542–544
EXAMPLES
Find the value of x.
a.
b.
45
x
45
x
71
33 2
45
45
By the 45 -45 -90 Triangle Theorem,
By the 45 -45 -90 Triangle Theorem,
the length of the hypotenuse is the
the length of the hypotenuse is the
length of a leg times 2 , so x
71 2 .
length of a leg times 2 , so 33 2
x 2 ,
and x
33.
Find the length of the hypotenuse in the 45 -45 -90 triangle. Write
your answer in radical form.
29.
30.
31.
45
x
x
45
45
7
15
5 2
x
45
45
45
Find the length of each leg in each 45 -45 -90 triangle. Write your
answer in radical form or as a decimal to the nearest tenth.
x
x
32.
33.
34.
3 2
45
45
45
45 x
x
x
x
19 2
10
Chapter Summary and Review
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