Question

WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.

Answer 1

Answer:

6.5

Step-by-step explanation:

If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.

Answer 2

If In triangle PQR, PQ = 13, QR = 14, and PR = 15.  M is the midpoint of QR.  PM is: 12 cm.

Triangle PQR

In △PQR

M=Midpoint of side QR

PM =Median of the  iangle

Using Apollonius theorem

PQ ² +PR ² =2PM ² +2QM ²

13²+14²=2PM ² +2(1/2QR) ²

169+196=2PM ²+2(6)²

169+196=2PM ²+2(36)

365=2PM ²+ 72

2PM ²=293

Divide both side by 2

PM ²=293/2

PM ²=146.5

PM=11.97 cm

PM=12 cm (Approximately)

Therefore PM is 12 cm.

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