ABC is a right angled triangle in which ∠A = 90º and AB = AC. Find ∠B and ∠C. - Mathematics

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ABC is a right angled triangle in which ∠A = 90º and AB = AC. Find ∠B and ∠C.

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Solution

It is given that

AB = AC

⇒ ∠C = ∠B (Angles opposite to equal sides are also equal)

In ΔABC,

∠A + ∠B + ∠C = 180º (Angle sum property of a triangle)

⇒ 90º + ∠B + ∠C = 180º

⇒ 90º + ∠B + ∠B = 180º

⇒ 2 ∠B = 90º

⇒ ∠B = 45º

∴ ∠B = ∠C = 45º

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Chapter 7: Triangles - Exercise 7.2 [Page 124]

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NCERT Mathematics Class 9
Chapter 7 Triangles
Exercise 7.2 | Q 7 | Page 124

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