Question

Use Special Triangle Shortcuts to find the values of x and y in the first figure. Explain how you determined the length of segments x and y using 2-3 sentences or explain your steps used to find the values.

Answer 1

Solution given:

short cut to find x

Tan 30°=P/B

Tan30°=x/22√3

x=tan 30×22√3

x=22

and

for y

cos 30=B/H

cos30×y=22√3

y=22√3/cos30

y=44