Question

given that △abc is equilateral, and ad bisects ∠a, show that the side lengths of △adb are in a ratio of 1 : √3 : 2. 1. equilateral triangles are also equiangular, so m∠a = m∠b = m∠c =

Explanation:

Step1: Recall angle - sum property

In any triangle, the sum of interior angles is 180°. In an equilateral triangle, all angles are equal. Let \(m\angle A=m\angle B = m\angle C=x\). Then \(x + x+x=180^{\circ}\).

Step2: Solve for the angle

\(3x = 180^{\circ}\), so \(x = 60^{\circ}\).

Answer:

\(60^{\circ}\)