If P the incenter of triangle JKL, find MP.

Mathematics

1 answer:

hram777 [196]3 years ago

4 0

9514 1404 393

Answer:

MP = 38

Step-by-step explanation:

Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.

3x +14 = 9x -34

48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides

24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)

NP = 3x +14 = 24 +14 = 38

NP = OP = MP = 38

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