Question

in the given figure,ST=5cm,QR=9cm.The area of the laever triangle is 50cm sq.What is the area of the shaded region

Answer 1

area of bigger triangle is 50
area of smaller triangle is 1/2*9*5=22.5
area of shaded region=50-22.5=27.5
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Answer 2

Area of bigger ∆=50 cm
Area of smaller ∆=1/2*ST*QR
=1/2*5*9
=22.5 cm
Area is shaded region=Ar. of bigger ∆ - Ar. of smaller ∆
=50 cm - 22.5 cm
=27.5 cm
Therefore, area of shaded region is 27.5 cm.