Question

Line QR, line RS and line SQ are midsegments of triangle WXY. The perimeter of WXY is ____ cm.

Answer 1

Answer: 14.5 cm

Explanation:

• The mid point theorem says that if line joining the midpoints of the any two sides , then this line becomes parallel to the third side and it becomes half of the third side.

Here , if consider firstly Q and R are mid-points of XW and XY then,

QR║WY such that

`WY=*QR=2*2.93=5.86\ cm`

Similarly, RS║XW such that

`XW=2*RS=2*2.04=4.08\ cm`

Similarly, QS║XY such that

`XY=2*QS=2*2.28=4.56\ cm`

Now, the perimeter of the triangle=
`WY+XW+XY=5.86+4.08+4.56=14.5\ cm`