Question

CD is perpendicular bisector of both XY and ST and CY=20 Find CT
A) 7 B) 9 C) 15 D) 14

Answer 1

C) 15 is your answer :)

Hope this helps ;)

Answer 2

Option C) 15

Explanation:

It is given that CD is perpendicular bisector of both XY and ST and CY = 20

We have to find the measure of CT.

In the triangles CSM and CTM

SM = MT = 7 (CD is perpendicular bisector of ST)

∠ CMS = ∠ CMT = 90°

Side CM is common in both the triangles.

So, Δ CSM ≅ Δ CTM

Therefore, side CS = side CT = 15

Option C) 15 is the correct option.