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

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

KnowledgeBoat · Accepted Answer

Let the points be A(3, 0), B(6, 4) and C(-1, 3). By distance formula, ∴ AB = AC = 5 ∴ ΔABC is an isosceles triangle AB² + AC² = 5² + 5² = 25 + 25 = 50. BC² = = 50. Since, AB² + AC² = BC². Hence, proved that (3, 0), (6, 4) and (-1, 3) are the vertices of a right angled isosceles triangle.

Mathematics

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

Coordinate Geometry

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