Ch 7 Test Review WS Key -...
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Ch 7 Test Review WS Key
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Ch 7 Test Review WS Key
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Ch 7 Test Review WS Key
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Ch 7 Test Review WS Key
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Ch 7 Test Review WS Key
Chapter 7 Study GuidePythagorean Theorem - only for right triangles you need two side lengths to figure out the third side length
CD is the altitude- the "long leg" of the small triangle- the "short leg" of the middle triangle
CB is the "short leg" of the large triangle and the hypotenuse of the small triangle
AC is the "long leg" of the large triangle and the hypotenuse of the middle triangle
C
D B
CD
A
C
A
B
Converse of Pythagorean TheoremIf a2 + b2 = c2
then it's a then it's an then it's an
a2 + b2 = c2
If a2 + b
2 > c
2If a
2 + b
2 < c
2
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Ch 7 Test Review WS Key
Trigonometric Ratios (Right triangles only!) A
GP opposite
hypotenuseadjacent
SOH CAH TOA
sin = opposite hypotenuse
cos = adjacent hypotenuse
tan = opposite adjacent
Special Right Triangles
Inverse Trigonometric Ratios (to identify angle measurements)
m A = sin-1 (opp/hyp) m A = cos-1 (adj/hyp) m A = tan-1 (opp/adj)
Any other Triangle
A B
Cab
cA
B
C
a
b
c
law of sines
sin A a
sin B b
sin C c
= =
law of cosines
c2 = a2 + b2 - 2abcosC