Question

check whether( 5,-2),(6,4),(7,-2), are vertices of an isosceles triangle ​

Answer 1

Answer:

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Step-by-step explanation:

By using distance formula,

Distance formula=$\sqrt({x}_{2} }-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Let A=(5,-2),B=(6,4) and C=(7,2)

AB=√(6-5)²+(4-(-2))²=√(1)²+(-6)²=√1+36=√37

BC=√(7-6)²+(-2-4)²=√(1)²+(-6)=√1+36=√37

CA=√(7-5)²+(-2-(-2))²=√(2)²+(0)²=√4+0=√4=2

Since AB=BC

Therefore,A,B and C are vertices of an isosceles triangle.

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