If A(-3, 2), B(α, β) and C(-1, 4) are the vertices of an isosceles triangle, prove that α + β = 1, given AB = BC.
Coordinate Geometry
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Question

If A(-3, 2), B(α, β) and C(-1, 4) are the vertices of an isosceles triangle, prove that α + β = 1, given AB = BC.

KnowledgeBoat · Accepted Answer

Given, A(-3, 2), B(α, β) and C(-1, 4) are the vertices of an isosceles triangle By distance formula, As, AB = BC On squaring both sides, Hence, proved that α + β = 1.

Mathematics

If A(-3, 2), B(α, β) and C(-1, 4) are the vertices of an isosceles triangle, prove that α + β = 1, given AB = BC.

Coordinate Geometry

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