SOLUTION: Hai Sir, please help me on this problem, i got stuck 1)Show that the points (-2,5),(3,-4) and(7,10)are the vertices of a right angled isosceles triangle.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hai Sir, please help me on this problem, i got stuck 1)Show that the points (-2,5),(3,-4) and(7,10)are the vertices of a right angled isosceles triangle.       Log On

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Question 398171: Hai Sir, please help me on this problem, i got stuck
1)Show that the points (-2,5),(3,-4) and(7,10)are the vertices of a right angled isosceles triangle.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
A(3,-4),B(-2,5), and C(7,10)

A. Show that triangle ABC is an isosceles triangle
A(3,-4),B(-2,5), and C(7,10)
distance AB = sqrt%28+%285%29%5E2+%2B+%28-9%5E2%29%29= distance AC = sqrt%289%5E2+%2B%28-2%29%5E2+%29
B. Show that triangle ABC is a right triangle
m of AB = %28-4-5%29+%2F%28+3-%28-2%29%29+=+-9%2F5+
m of BC = -5/-9 = 5/9
SLOPES negative reciprocals, lines AB and BC perpendicular, ∠ABC = 90°