Question

triangle abc is a right angled triangle ain which a = 90 and ab=bc find b and c​

Answer 1

Answer:

Answer

Since AB=AC,

So, △ABC is Right-angled isosceles.

∠B=∠C ...(angles opp. to equal sides are equal)

∠A+∠B+∠C=180

∘

...(angle - sum property of a triangle)

Substituting ∠B=∠C, ∠A=90

o

90

∘

+2∠B=180

∘

2∠B=180

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–90

∘

=90

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⇒∠B=45

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So, ∠C=∠B=45

o

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