lakesha04begaye lakesha04begaye
  • 23-01-2019
  • Mathematics
contestada

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

CD is perpendicular bisector of both XY and ST and CY20 Find CT A 7 B 9 C 15 D 14 class=

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Аноним Аноним
  • 23-01-2019

C) 15 is your answer :)

Hope this helps ;)

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eudora eudora
  • 25-05-2019

Answer:

Option C) 15

Step-by-step 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.

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