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Question

Prove that the points A(5,4);B(1,2) and C(5,2) are the vertices of an isosceles right angled triangle.

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Solution

A(5,4) , B(1,2) and C(5,2)

using distance formula for finding distance between two points .
AB=(5+1)²+(4+2)²=(4²+6²)=213
BC=(15)²+(22)²=(6²+4²)=213
CA=5+5)²+(24)²=(10²+2²)=226

hence we can see that it is Right isosceles triangle.

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