## Quant Question Of The Day: 60

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# Geometry

Triangle ABC is an isosceles triangle with AB = AC and BC = 48. DE and DF are perpendiculars from D to AB and AC . The ratio of DE to DF is 5: 7. What is the length of DC?

A. 12

B. 20

C. 24

D. 28

E. None of the above

**See our previous ‘Questions of the Day’:**

D – 28

∆DEB~∆DPC

DE/DP=BD/CD

5/7=48-x/x

X=28

D

20

D. 28 -by similarity rule.

Q 60 Ans- D.

D.28

D

D