Prove that abc=60 degree, Mathematics

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ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60o.

60_triangle5.png

Ans:    Tan B = AC/BC

Tan B = √3 BC/BC

Tan B =√3

⇒ Tan B = Tan 60

⇒ B = 60o

⇒ ∠ABC = 60o

Hence proved


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