Question

(Geometry HELP) The perimeter of WXY is ___ cm?

Answer 1

The perimeter of WXY is 14.5 cm

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,

1. R is the midpoint of XY
2. S is the midpoint of YW
3. Q is the midpoint of XW

Applying the theorem,

1. XY=2SQ
2. YW=2QR
3. 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`