In triangle abc and triangle pqr, ab = ac, ∠C = ∠P and ∠B = ∠Q the two triangles are

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.

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NCERT Mathematics Exemplar

Exercise 7.2

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