Pythagorean Theorem and Trig Ratios

For the above right triangle, find the side length x.

• 16

• 41

• 29

• 25

Tags

CCSS.8.G.B.7

Determine whether a triangle with the given side lengths is a right triangle.

Check all correct answers.

• 14, 48, 50

• 8, 14, 16

• 10, 11,15

• 5,12,13

Tags

CCSS.8.G.B.8

Use the above triangle to find  $\cos B$  ,  $\tan B$  , and  $\sin B$  

•  $\cos B=\frac{15}{17},\ \tan B=\frac{15}{8},\ \sin B=\frac{8}{17}$  

•  $\cos B=\frac{8}{17},\ \tan B=\frac{15}{8},\ \sin B=\frac{15}{17}$  

•  $\cos B=\frac{15}{17},\ \tan B=\frac{8}{15},\ \sin B=\frac{8}{17}$  

•  $\cos B=\frac{8}{15},\ \tan B=\frac{8}{17},\ \sin B=\frac{15}{17}$  

Tags

CCSS.HSG.SRT.C.6

Use the above right triangle, with side lengths a, b, and c. The sinx = ______.

• $\frac{b}{c}$

• $\frac{c}{b}$

• $\frac{a}{c}$

• $\frac{c}{a}$

Tags

CCSS.HSG.SRT.C.6

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Tags

CCSS.HSG.SRT.C.8

Find the missing side lengths.

• a = 4, b = 4
• a = 4, b = 2√2
• a = 2√2,  b = 4
• a = 4, b = 4

Tags

CCSS.HSG.SRT.C.8

What is the cosine of angle P?

• p/q
• q/r
• p/r
• r/q

Tags

CCSS.HSG.SRT.C.6

What is the correct ratio?

• sin 40 = w/28
• cos 40 = w/28
• tan 40 = w/28
• sin 40 = 28/w

Tags

CCSS.HSG.SRT.C.6