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ABC is a Right-Angle Triangle in Which a =90° and ab=ac Find b and c

In right angle triangle ABC with A=90° and AB=AC, find angles B and C. Solved with step-by-step working for CBSE and competitive exams.

Answer: By using the property of the triangle, we can easily find the solution

We can use the concept whereby angles opposing equal sides are also equal and then we can find the value of B AND C

AS STATED,

AB=AC

∴ ∠C =∠B

So let ∠B=∠C = x

So ∠A + ∠B+ ∠C=180° (sum of an angle property of a triangle)

Or, 90°+x+ x = 180°

Or, 90° +2x = 180°

Or 2x = 180°

So, x = 45°

∴ ∠C=∠B = 45°.