Question

NP,PM,and MN are all midsegments and bisect beach other side.RS=20SQ=30RQ=24label each other midsegments with its correct measure.

Answer 1

Since NP,PM,and MN are all midsegments in the given triangle RSQ, by midpoint theorem(“The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”)

`MP=(1)/(2)RS=(1)/(2)*20=10`
`NM=(1)/(2)SQ=(1)/(2)*30=15`
`NP=(1)/(2)RQ=(1)/(2)*24=12`