Question

check whether (1,5) , (2,3) and(7,-2) are vertices of an isosceles triangle​

Answer 1

A(1,5) B(2,3) C(7 ,-2)

AB =

$\sqrt{ {1}^{2} + {2}^{2} } = \sqrt{5}$

BC =

$\sqrt{ {5}^{2} + {5}^{2} } = \sqrt{50 } = 5 \sqrt{2 }$

AC=

$\sqrt{ {6}^{2} + {7}^{2} } = \sqrt{85}$

length of any two sides is not equal. the given points doesn't form an isocsless triangle .

hope it helps you;)