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

Given AB 20 BV12 VA14 And SR Is A Mid Segment Find The Given Lengths class=

Sagot :

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.

[tex]SR=\dfrac{1}{2}BV[/tex]

[tex]SR=\dfrac{1}{2}(12)[/tex]

[tex]SR=6[/tex]

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

[tex]AR=\dfrac{1}{2}VA[/tex]

[tex]AR=\dfrac{1}{2}(14)[/tex]

[tex]AR=7[/tex]

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

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