Q) Show that the points A(-5,6), B(3, 0) and C( 9, 8) are the vertices of an isosceles triangle.

Ans:

For a triangle to be an isosceles triangle, its any 2 sides should be equal.

Let’s start by calculating length of its sides:

We know that the distance between two points P (X₁, Y₁) and Q (X₂, Y₂) is given by:

PQ =

We have coordinates as A(-5,6), B(3, 0) and C( 9, 8)

∴ AB =

∴ AB =

∴ AB =

∴ AB = 10

Similarly, BC =

∴ BC = 

∴ BC =

∴ BC = 10

Here, since AB = BC

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

Please press the “Heart”, if you liked the solution.