In triangle xyz,p and q are the midpoints of xy and xz respectively. If the area of triangle xyz is 140 cm2,find area of triangle xpq
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Answer:
Given
XP
XY
= 3 2
Referring figure,
AreaofΔXYZ
AreaofΔXPQ
= 2 1
YZ×XM 2 1
PQ×XL
YZ x PQ
=PQ ×YZ
=( YZ PQ ) 2
=( 3 2 ) 2
= 9 4
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