MATH SOLVE

5 months ago

Q:
# Find the perimeter of triangle MNP

Accepted Solution

A:

Answer:The perimeter of triangle MNP is 130 unitsStep-by-step explanation:we know thatThe perimeter of triangle MNP is equal to[tex]P=MN+NP+MP[/tex]In this problemstep 11) [tex]MP=2(QR)[/tex] Because Q is the midpoint of segment MN and R is the midpoint of segment NPso[tex]MP=2(25)=50\ units[/tex] step 22) [tex]NP=2(QS)[/tex] Because Q is the midpoint of segment MN and S is the midpoint of segment MPso[tex]NP=2(22)=44\ units[/tex] step 33) [tex]MN=2(RS)[/tex] Because R is the midpoint of segment NP and S is the midpoint of segment MPso[tex]5x-34=2(x+4)[/tex] solve for x[tex]5x-34=2x+8[/tex] [tex]5x--2x=34+8[/tex] [tex]3x=42[/tex] [tex]x=14[/tex] so[tex]MN=5(14)-34=36\ units[/tex]step 4Find the perimeter[tex]P=MN+NP+MP[/tex]substitute the values[tex]P=36+44+50=130\ units[/tex]