Question

Given AB= 20, BV=12, VA=14 and SR is a mid segment, find the given lengths

Answer 1

Given:

AB= 20, BV=12, VA=14 and SR is a mid segment.

To find:

The lengths of SR and AR.

Solution:

SR is a mid segment. So, SR is parallel to the non-included side BV and the length of SR is half of BV.

`SR=(1)/(2)BV`

`SR=(1)/(2)(12)`

`SR=6`

SR is a mid segment. So, it divides the included sides in two equal parts. It means R is the midpoint of VA.

`AR=(1)/(2)VA`

`AR=(1)/(2)(14)`

`AR=7`

Therefore, the measure of SR is 6 units and the measure of AR is 7 units.