Question

In a triangle ABC the altitude from A is not less than BC and altitude from B is not less than AC. The triangle is

• A. Right angled
• B. Isosceles
• C. Obtuse angled
• D. Equilateral

Answer 1

Answer: (A)

Right angled

Answer 2

c sin B ≥ a ⇒ sin C sin B ≥ sin A

and a sin C ≥ b ⇒ sin C sin A ≥ sin B

⇒ sin C ≥ 1 ⇒ ∠C is $\frac{\pi}{2}$