angleB=90degree and cosA=cosC, then prove that angleA=angleC.
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Answer:
Cos A = Cos C
Step-by-step explanation:
As, ∠B = 90°.
Then, A and B are acute angles.
Cos A = AB/AC
Cos C = BC/AC
As, Cos A=Cos C
So, AB/AC = BC/AC
Therefore, AB = BC.
So,
∠C = ∠A (angle opp. to equal sides are equal)
Hope it helps.
Thank you.
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