Question

Prove Triangle AED is similar to triangle GFC

Answer 1

In triangle AED , angle aed = 90 degree
And let angle Dae = x
So angle ade = 90-x ( by angle sum property)

Now in triangle abc ,angle a =x
And angle abc = 90
So by angle sum property ,angle c= 90-x

Now in triangle gfc , angle gfc=90,
And angle c= 90-x

So angle fgc= x(by angle sum property )

Now by AAA criteria ,both triangles are similar

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