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Triangle KLM is similar to triangle NOP. Find the measure of side PN. Round your

answer to the nearest tenth if necessary. Figures are not drawn to scale.

60

P

O

M M

17 1

35

K

N

Triangle KLM is similar to triangle NOP Find the measure of side PN Round your answer to the nearest tenth if necessary Figures are not

Answer :

The measure of the side PN is 123.5.

What are Similar Triangles?

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles

Given that triangle KLM is similar to triangle NOP.

If two triangles are similar, then their corresponding sides will be proportional.

From the figure,

Corresponding side of LM is PO.

Corresponding side of MK is NP.

Corresponding side of LK is ON.

So LM / PO = MK / NP = LK / ON

17 / 60 = 35 / PN = LK / ON

We need the length of PN.

17 / 60 = 35 / PN

17 × PN = 60 × 35

PN = (60 × 35) / 17

PN = 123.5

Hence the measure of the side of the triangle is PN = 123.5.

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https://brainly.com/question/14926756

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Rewritten by : Barada

Answer:

ML/OP=MK/PN since sides of similar traingle are proportional

17/60=35/PN

PN=35×60/17=123.529=123.6 or 124