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ABC IS AN RIGHT-ANGLE TRIANGLE IN WHICH A =90° AND AB=AC. FIND B AND C

In right angle triangle ABC where A=90° and AB=AC, find angles B and C. Step-by-step solution for CBSE maths and competitive exam prep.

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°