Question

Prove that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles tringle.

Answer 1

GIVEN POINTS (3,0), (6,4) AND (-1,3) ARE THE VERTICES OF RIGHT- ANGLED TRIANGLE.

THEREFORE,

LET A (3,0), B (6,4) AND C (-1,3) BE GIVEN POINTS

NOW,

.

SINCE, AB=BC

THEREFORE,

.

THUS TRIANGLE ABC IS RIGHT-ANGLED ISOSCLES TRIANGLE