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9. Find DP
please help!!!!!!

9 Find DP Please Help class=

Sagot :

Answer:

DP = 15.

Step-by-step explanation:

I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.

D is the midpoint of AB so

2x + 14 = 8x - 52

14+52 = 8x - 2x

6x = 66

x = 11.

So side AD = 2(11) + 14 = 36.

Now PC = PA = 39.

So by pythagoras:

DP^2 = AP^2 - AD^2

= 39^2-36^2 = 225

DP = sqrt 225

= 15.

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