Question

The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.

A) 16
B) 12.7
C) 2.8
D) 28.5

Answer 1

TS = 12.7

Explanation:

From the question given above, the following data were obtained:

QR = 9

QP = 6

TU = 19

TS =?

Since the triangles are SIMILAR, then,

QR / TU = QP / TS

With the above equation, we can obtain the value of TS as follow:

QR = 9

QP = 6

TU = 19

TS =?

QR / TU = QP / TS

9 / 19 = 6 / TS

Cross multiply

9 × TS = 19 × 6

9 × TS = 114

Divide both side by 9

TS = 114 / 9

TS = 12.7