Question

PLEASE explain your answer! What is the value of q?

Answer 1

B

Explanation:

ΔSQR and ΔTRS are similar.

`(QR)/(SR) =(SR)/(TR) \\(14)/(q) =(q)/(4) \\\\q^2=56\\q=√(56) =2√(14)`

so B

Answer 2

The answer two your question is: 2 √14

Explanation:

Use proportions to solve this exercise

Work with two triangles ΔRSQ and ΔRTS

Side RQ = 14

Side RS = q

Side RS = q

Side RT = 4

14/q = q/4 Solve for q

56 = q²

q = √56

Find prime factors of 56

56 2

28 2

14 2

7 7

1 Then 56 = (2²)(2)(7)

= √(2²)(2)(7)

= 2 √ 14