Question

ABC is a right angled triangle in which ∠ A=90° and AB=AC Find ∠B​

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ABC is a right angled triangle in which ∠A=90

∘

and AB=AC. Find ∠B and ∠C.

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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

∘

–90

∘

=90

∘

⇒∠B=45

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So, ∠C=∠B=45

o

.

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