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Question

If the area of an isosceles right-angled triangle is 72 cm2, then its perimeter is _________.

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Solution

Given: Area of an isosceles right-angled triangle is 72 cm2

Area of an isosceles right triangle=12×Base×Height =12×Base×Base Base=Height =12×Base272=12×Base2144=Base2Base=12 cm =PerpendicularIn a right-angled triangle, using pythagoras theoremHypotenuse2=Base2+Perpendicular2 =122+122 =144+144 =288Hypotenuse=288 cmHypotenuse=122 cmThus,Perimeter=12+12+122 =122+2 cm

Hence, its perimeter is 122+2 cm.

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