Question

Triangle O, P, QOPQ is formed by connecting the midpoints of the side of triangle L, M, NLMN. The lengths of the sides of triangle O, P, QOPQ are shown. What is the length of start overline, M, N, end overline
MN
? Figures not necessarily drawn to scale.
L
M
N
O
P

Answer 1

When O, P, Q are the midpoints of the sides of triangle LMN, PQ is the segment joining the midpoints of LN and LM, so PQ is parallel to MN and PQ = 1/2·MN. Therefore MN = 2·PQ.

(If the figure gives a numerical length for PQ, multiply that number by 2 to get MN.)