Since QR is parallel to NO, we can use the similarity of triangles to find the length of QP.
We have the proportion: QP/NO = QR/NQ
Plugging in the given values: QP/44 = 24/20
Cross multiplying: QP*20 = 44*24
Simplifying: QP = (44*24)/20 = 11*24/5 = 264/5 = 52.8
Therefore, the length of QP is 52.8.
In the diagram below, start overline, Q, R, end overline
QR
is parallel to start overline, N, O, end overline
NO
. If N, Q, equals, 20NQ=20, Q, R, equals, 24QR=24, and N, O, equals, 44NO=44, find the length of start overline, Q, P, end overline
QP
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
1 answer
3 answers