Question

In triangle pqr , angle p is equal to 70 degree,angle r is equal to 30 degree, which side of triangle is a longer? Give reason for your answer

Answer 1

Answer:

PR

Explanation:

In a triangle, the sum of all angles is equal to 180°.

⇒ ∠P + ∠Q + ∠R = 180°

⇒ 70° + ∠Q + 30° = 180°

⇒ ∠Q + 100° = 180°

⇒ ∠Q = 180° - 100°

⇒∠Q = 80°

In a triangle, the side opposite to the greatest angle is the longest.

As, ∠Q = 80° is the greatest angle, the side opposite to ∠Q  i.e. PR is the longest side of the triangle.