The points P(0, 6), Q(-5, 3) and R(3, 1) are the vertices of a triangle, which is

Question

Philoid · Accepted Answer

The distance between any two points P₁(x₁, y₁) and P₂(x₂, y₂) is given by the following formula:

⇒

⇒ Distance AB =

= √(25 + 9)

= √34

⇒ Distance BC =

= √(64 + 4)

= √68

⇒ Distance AC =

= √(9 + 25)

= √34

Since the length of two sides is equal, given triangle is an isosceles triangle.

⇒ The given triangle also satisfy Pythagoras Theorem in following way:

BC² = AC² + AB²

Therefore the given triangle is also right-angled triangle.