Math, asked by vedprakash01966, 8 months ago

ABC is an equilateral triangle BC is produced to D such that BC=CD ​

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Answered by shrutikaudgiri63
0

Answer:

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Answered by nitashachadha84
16

Answer:

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Step-by-step explanation:

an equilateral Triangle

=> ∠ A = ∠B = ∠C = 60°

AB = BC = CA

BC is produced to D such that BC=CD

=> CA = CD

=> ∠CAD = ∠CDA

∠C = ∠ACD = ∠CAD + ∠CDA  ( Sum of Exterior angle of a triangle = Sum of opposite two angles of triangle)

=> 60° =  2 ∠CAD

=> ∠CAD = 30°

∠BAD = ∠BAC + ∠CAD

=> ∠BAD =  60° + 30°

=> ∠BAD =  90°

=> DA ⊥ AB

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