Radicals, Trigonometric Ratio & Simplifying Square Roots
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10
10
Summary and Review
Chapter
VOCABULARY
• radical, p. 537
• leg opposite an angle, p. 557
• solve a right triangle, p. 569
• radicand, p. 537
• leg adjacent to an angle, p. 557
• inverse tangent, p. 569
• 45 -45 -90 triangle, p. 542
• tangent, p. 557
• inverse sine, p. 570
• 30 -60 -90 triangle, p. 549
• sine, p. 563
• inverse cosine, p. 570
• trigonometric ratio, p. 557
• cosine, p. 563
VOCABULARY REVIEW
Fill in the blank.
A(n) __? __ is an expression written with a radical symbol.
1.
The number or expression inside the radical symbol is the __? __.
2.
A(n) __? __ is a ratio of the lengths of two sides of a right triangle.
3.
A right triangle with side lengths 9, 9 3 , and 18 is a(n) __ ? __ triangle.
4.
To __? __ a right triangle means to determine the lengths of all three
5.
sides of the triangle and the measures of both acute angles.
A right triangle with side lengths 4, 4, and 4 2 is a(n) __? __ triangle.
6.
If aF is an acute angle of a right triangle, then
7.
leg opposite aF
__? __ of aF
.
leg adjacent to aF
If aF is an acute angle of a right triangle, then
8.
leg adjacent aF
__? __ of aF
.
hypotenuse
If aF is an acute angle of a right triangle, then
9.
leg opposite aF
__? __ of aF
.
hypotenuse
Examples on
10.1
S
S
R
IMPLIFYING
QUARE
OOTS
pp. 537–538
EXAMPLES
Use the Product Property of Radicals to simplify the expression.
7 p 5
5 2
a.
b.
7 p 5
7 p 5
4 p 1 3
3 5
5 2
2 1 3
576
Chapter 10 Right Triangles and Trigonometry
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