Triangle Problem and Solution

Question: Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices of an isosceles right angled triangle.

Given that ABC is a triangle.



If ABC is an isosceles D le, then AB = BC.













Hence ABC is an isosceles triangle.

If it is a right angled triangle then,

AC² = AB² + BC²







AC² = 104 units





= 2 x 52

= 104 units

Hence AC² = AB² + BC² and AB = BC

is an isosceles right angled triangle.

In the above Cartesian system problem solving, we can see while calculating the Pythagoras theorem is used.