Answer:
The perimeter of WXY is 14.5 cm
Step-by-step explanation:
Midpoint Theorem -
It states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
From the picture, it can be observed that,
- R is the midpoint of XY
- S is the midpoint of YW
- Q is the midpoint of XW
Applying the theorem,
- XY=2SQ
- YW=2QR
- XW=2RS
Perimeter of WXY is,
\(=XY+YW+XW\)
\(=2SQ+2QR+2RS\)
\(=2(SQ+QR+RS)\)
\(=2(2.28+2.93+2.04)\)
\(=2(7.25)\)
\(=14.5\ cm\)