Question

Hi! Could I get some help with finding the perimeter of Triangle PMN, please? No need to solve the other question that one has already been answered. Thank you!

Answer 1

55

Explanation:

ΔVMW ~ ΔPMN, because as their bases are parallel, it means their angles are equal.

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Finding the scale factor :

⇒ VW : PN

⇒ 6 : 15

⇒ 2 : 5

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Finding WN :

⇒ MW : WN = 2 : 5

⇒ 8 : WN = 2 : 5

⇒ 8/WN = 2/5

⇒ WN = 8/2 × 5

⇒ WN = 20

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Perimeter of ΔPMN :

⇒ Perimeter = MP + PN + MW + WN

⇒ Perimeter = 12 + 15 + 8 + 20

⇒ Perimeter = 27 + 28

⇒ Perimeter = 55