Triangle NOP is similar to triangle QRS. Find the measure of side SQ. Round your answer to the nearest tenth if necessary.

Question

N
O
P
Q
R
S
17
13.3
57

Answer 1

To find the measure of side SQ, we can set up a proportion between the corresponding sides of the two similar triangles.

Side NO corresponds to side QR, so: NO/QR = OP/QS

Substitute the given values: (17/13.3) = (57/SQ)

Solve for SQ:

17/13.3 = 57/SQ
17SQ = 57*13.3
17SQ = 757.7
SQ = 757.7 / 17
SQ ≈ 44.6

Therefore, the measure of side SQ is approximately 44.6.