Question

In the triangle below, LM = 11. Solve for NP

NP = units

Answer 1

NP = 11 units.

Explanation:

Given that the lines JN, KP, and LM are parallel and JK, JL, and NP are perpendicular, it forms a pair of similar triangles. In similar triangles, corresponding sides are proportional. Therefore, if LM is 11 units, then NP, which corresponds to LM in the similar triangle, would also be 11 units. So, NP = 11 units. This is due to the properties of similar triangles in geometry.

Answer 2

Answer: 11

Reason: Side JL is cut in half to get midsegment NP. This midsegment is also parallel to side JL.

Put another way: LM = NP = 11.