Ch 7 Test Review WS Key

Ch 7 Test Review WS Key

Ch 7 Test Review WS Key

Ch 7 Test Review WS Key

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

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