NCERT Solutions for Class 9 Maths Chapter 7
Important NCERT Questions
Triangles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 7.2
Page No:124
Questions No: 7
ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠ B and ∠ C.
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In ΔABC,
AB = AC [∵ Given]
∠B = ∠C [∵ Angles opposite to equal sides are equal]
In ΔABC,
∠A + ∠B + ∠C = 180°
⇒ 90° + ∠B + ∠C = 180° [∵ ∠A = 90°]
⇒ 90° + ∠B + ∠B = 180° [∵ ∠C = ∠B]
⇒ 2∠B = 180° – 90° = 90°
⇒ ∠B = (90°/2) = 45°
Hence, ∠B = ∠C = 90°