Question

Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain your work thoroughly and round answers to the nearest hundredth if needed.

Answer 1

c=19.21

<C=90

<B=38.66°

<A=51.34

Explanation:

12²+15²=c²

144+225=c²

c=19.21

<C=90

For angle B, the sinB=Opposite over Hypotenuse

sinB=12/19.21

sinB=0.62467

B=sin^-1(0.62467)

<B=38.66°

To find A, 180-90-38.66

<A=51.34