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lubasha [3.4K]
3 years ago
5

Length of QM=???????

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

QM = 7 cm

Step-by-step explanation:

Tangents to a circle from an external point are congruent.

The perimeter (P) is the sum of the sides of the triangle, that is

PL + LQ + QM + MR + RN + NP = 42

6 + LQ + QM + 8 + 8 + 6 = 42

LQ + QM + 28 = 42 ( subtract 28 from both sides )

LQ + QM = 14

Since LQ = QM , then

QM = 7

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