Question

show that the triangle formed by joining A(-2,-5) ,B(4,-1),and C,(-1,0) isosceles​

Answer 1

A(1,2),B(−5,1),C(1,4)

$AB = \sqrt{(-5-1)^{2} + (1-(-2))^{2} } \\\\= \sqrt{45}$

$BC=\sqrt{(1-(-5))^{2} + (4-1)^{2} } \\\\= \sqrt{45}$

∵AB=BC

Hence it is isosceles Δ

$CA = \sqrt{(1-1)^{2} + (4-(-2))^{2} } \\\\= \sqrt{6^{2} } = 6$

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