Question

Please help me on this question ‍♀️

Choices:
(A) 5.6
(B) 8.75
(C) 11
(D) 15

Answer 1

TS = 11.

Explanation:

Consider triangles UTO and UCS.

m < C = m < UTO (Given)

< U is common to both triangles.

Therefore triangles UTO and OCS are similar.

So corresponding sides are in the same ratio and:

5 / (TS + 4) = 4/ (7+5)

5 * (7 + 5) = 4(TS + 4)

TS + 4 = 5*12 / 4

TS + 4 = 15

TS = 11.