Maths / Coordinate Geometry / Distance Formula

QUESTION
 

Check whether (5,-2) , (6,4)and (7,-2) are the vertices of an isosceles triangle.

EXPLANATION
Explain TypeExplanation Content
Text

The three points are A(5,-2), B (6,4) and C(7,-2)

AB=sqrt{(6-5)^2+(4+2)^2}=sqrt{37}BC=sqrt{(7-6)^2+(-2-4)^2}=sqrt{37} CA=sqrt{(7-5)^2+(-2+2)^2}=sqrt{4+0}=2

In Delta ABC,we have AB=BC.

Therefore Delta ABC is isosceles.

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