Check whether(5,-2). (6,4) and (7,-2) are thevertices of an isosceles

1.	Check whether(5,-2). (6,4) and (7,-2) are thevertices of an isosceles triangle.
Answer» ong>Answer: Step-by-step explanation: We can check the same by application of 'distance formula' which is used to find the distance between TWO points whose coordinates are known. If A(x₁, y₁) and B (x₂, y₂) represent 2 points in same plane, then by distance formula, the distance 'd' between these points is given by d = √ (x₂ - x₁)² + (y₂ - y₁)² Let the given points be written as: A (5,-2) B (6, 4) C (7, -2) AB = √(6 - 5)² + (4+2)² = √( 1 + 36) = √37 units BC = √(7 - 6)² + (-2-4)² = √(1 + 36) = √37 units CA = √(7-5)² + (-2+2)² = √(4+0) = 2 units As, AB = BC = √37 units; The given VERTICES indeed form an isosceles trianlge.

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

Answer»

ong>Answer:

Step-by-step explanation:

We can check the same by application of 'distance formula' which is used to find the distance between TWO points whose coordinates are known.

If A(x₁, y₁) and B (x₂, y₂) represent 2 points in same plane, then by distance formula, the distance 'd' between these points is given by

d = √ (x₂ - x₁)² + (y₂ - y₁)²

Let the given points be written as:

A (5,-2)

B (6, 4)

C (7, -2)

AB = √(6 - 5)² + (4+2)² = √( 1 + 36) = √37 units

BC = √(7 - 6)² + (-2-4)² = √(1 + 36) = √37 units

CA = √(7-5)² + (-2+2)² = √(4+0) = 2 units

As, AB = BC = √37 units; The given VERTICES indeed form an isosceles trianlge.