Question

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

Answer 1

Answer:

The answer two your question is: 2 √14

Step-by-step 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

                     

Answer 2

Answer:

B

Step-by-step explanation:

ΔSQR and ΔTRS are similar.

$\frac{QR}{SR} =\frac{SR}{TR} \\\frac{14}{q} =\frac{q}{4} \\\\q^2=56\\q=\sqrt{56} =2\sqrt{14}$

so B