CBSE 9 - Maths
Q12.
Asked by UTKARSH.CHANDRA.02008 | 09 Jul, 2022, 09:54: AM
CBSE 9 - Maths
Asked by muradesrushti66 | 06 Jul, 2022, 08:50: PM
ANSWERED BY EXPERT
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are isosceles but not congruent.
Explanation:
In triangle ABC,
AB = AC ....[Given]
∠C = ∠B .....[Angle opposite to equal sides are equal]
So, in triangle ABC is an isosceles triangle.
∠B = ∠Q .....[Given]
∠C = ∠P
∠P = ∠Q .....[Since, ∠C = ∠B]
QR = PR .....[Sides opposite to equal angles are equal]
So, in triangle PQR is also an isosceles triangle.
Hence, both triangle are isosceles but not congruent.
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NCERT Mathematics Exemplar
Exercise 7.2
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