ABC is a right angled triangle in which ∠A=90◦ and AB=AC. Find ∠B and ∠C.
Answers
Answered by
5
Answer:
∠B = ∠C = 45°
Step-by-step explanation:
ΔABC is right angled at A
so,
∠A +∠B+∠C = 180° (angle sum property)
given, AB=AC,
∠B = ∠C (angles in a triangle opposite to equal sides are also equal)
∠A + 2∠C = 180°
2∠C = 90°
∠C = 45°
∠B + ∠C = 90°
∠B = 45°
Answered by
12
Given, AB=AC
∆ABC is isosceles
∠B=∠C=x { I.T.P }
Also given, ∠A=90°
x + x + 90° = 180°
2x + 90° = 180°
2x =
2x = 90°
x =
x = 45°
∠B=∠C=x
∠B=∠C= 45°
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