8.7: Chapter 8 Review
Keywords & Theorems
The Pythagorean Theorem
 Pythagorean Theorem
 Pythagorean Triple
 Distance Formula
The Pythagorean Theorem Converse
 Pythagorean Theorem Converse
 Theorem 83
 Theorem 84
Similar Right Triangles
 Theorem 85
 Geometric Mean
Special Right Triangles
 Isosceles Right (454590) Triangle
 306090 Triangle
 454590 Theorem
 306090 Theorem
Tangent, Sine and Cosine Ratios
 Trigonometry
 Adjacent (Leg)
 Opposite (Leg)
 Sine Ratio
 Cosine Ratio
 Tangent Ratio
 Angle of Depression
 Angle of Elevation
Solving Right Triangles
 Inverse Tangent
 Inverse Sine
 Inverse Cosine
Review
Fill in the blanks using right triangle

a2+−−−−2=c2 
sin−−−−=bc 
tan−−−−=fd 
cos−−−−=bc 
tan−1(fe)=−−−− 
sin−1(fb)=−−−− 
−−−−2+d2=b2 
?b=bc 
e?=?c 
df=f?
Solve the following right triangles using the Pythagorean Theorem, the trigonometric ratios, and the inverse trigonometric ratios. When possible, simplify the radical. If not, round all decimal answers to the nearest tenth.
Determine if the following lengths make an acute, right, or obtuse triangle. If they make a right triangle, determine if the lengths are a Pythagorean triple.
 11, 12, 13
 16, 30, 34
 20, 25, 42

106√,30,1015−−√  22, 25, 31
 47, 27, 35
Find the value of
 The angle of elevation from the base of a mountain to its peak is
76∘ . If its height is 2500 feet, what is the length to reach the top? Round the answer to the nearest tenth.  Taylor is taking an aerial tour of San Francisco in a helicopter. He spots AT&T Park (baseball stadium) at a horizontal distance of 850 feet and down (vertical) 475 feet. What is the angle of depression from the helicopter to the park? Round the answer to the nearest tenth.
Texas Instruments Resources
In the CK12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9693.
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