If OM = 63, MN = 60, ON = 68, PQ = 12, and RQ = 13.6, find the perimeter of ΔPQR. Round your answer to the...

Question

If OM = 63, MN = 60, ON = 68, PQ = 12, and RQ = 13.6, find the perimeter of ΔPQR. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

SnapAndSolve AI · Accepted Answer

To find the perimeter of ΔPQR, we need to determine the length of side PR. Since the triangles are similar, we can use the ratio of corresponding sides.

The ratio of ON to PQ is 68/12. We can use this ratio to find PR:

ON / PQ = PR / OM
68 / 12 = PR / 63
PR = (68 / 12) * 63
PR = 357

Now, calculate the perimeter of ΔPQR:

Perimeter = PQ + QR + PR
Perimeter = 12 + 13.6 + 357
Perimeter = 382.6

The perimeter of ΔPQR is 382.6.

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If OM = 63, MN = 60, ON = 68, PQ = 12, and RQ = 13.6, find the perimeter of ΔPQR. Round your answer to the...

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