Question

cheak whether(5,-2),(6,4)and(7,-2)are vertices of an isosceles triangle.

Answer 1

Hi

Here is your answer,

Using Distance formula

√(x₂ - x₁)² + (y₂ - y₁)²

AB = √( 5 - 6)² + (-2 -4)²

= √(-1)² + (6)²

= √1 + 36

= √37

BC = √(x₂ - x₁)² + (y₂ - y₁)²

= √(6 -7)² + (4-(-2)²)

= √(-1)² + (4 +2)²

= √(1 + (6)²

= √(1 + 36)

= √37

CA = √(x₂ - x₁)² + (y₂ - y₁)²

= √(5 - 7)² + (-2-(-2)²

= √(-2)² + 0²

= 2


∴ AB = BC

So, ABC is a isosceles triangle.


Hope it helps you!