Abc is an isosceles triangle right angled at b

Asked by admin @ in Math viewed by 289 People

ABC is an isosceles triangle, right angled at B . similar triangles ACD & ABE are constructed on sides AC & AB . Find the ratio between the areas of triangle ABE & ACD

Answered by admin @


In triangleABC
By Pythagoras theorem
ACsquare= ABsquare+ACsquare
=asquare+asquare
=root2 a
ABE similar to ACD (given)
ar (ABE)/ar(ACD)=ABsquare/ACsquare
=asquare/root2a the whole square
=1/2
Ratio =1:2

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