Question

in ∆XYZ, M is a point in interior of ∆XYZ, then prove that XY+XZ>YM+ZM

Answer 1

Solution:-

Sin x = opposite side of x/hypotenuse

⇒ x/2x = 1/2

Sin x = 1/2 = Sin 30°

⇒ x = 30° or ∠ YXZ = 30°

Cos Z = Adjacent side of z/hypotenuse

⇒ x/2x = 1/2

⇒ Cos Z = 1/2 = Cos 60°

Z = 60° = ∠ YZX = 60° Answer