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.

$SR=\dfrac{1}{2}BV$

$SR=\dfrac{1}{2}(12)$

$SR=6$

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

$AR=\dfrac{1}{2}VA$

$AR=\dfrac{1}{2}(14)$

$AR=7$

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