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.”)
[tex]MP=\frac{1}{2}RS=\frac{1}{2}\times20=10[/tex][tex]NM=\frac{1}{2}SQ=\frac{1}{2}\times30=15[/tex][tex]NP=\frac{1}{2}RQ=\frac{1}{2}\times24=12[/tex]
