Question

given that △abc is equilateral, and \\(\overline{ad}\\) bisects \\(\angle a\\), show that the side lengths of △adb are in a ratio of \\(1 : \sqrt{3} : 2\\).

1. equilateral triangles are also equiangular, so \\(m\angle a = m\angle b = m\angle c = \\) dropdown with 30°, 45°, 60° options.

Explanation:

Step1: Recall equilateral triangle angles

In an equilateral triangle, the sum of interior angles is \(180^\circ\), and all angles are equal. So each angle \(m\angle A = m\angle B = m\angle C=\frac{180^\circ}{3}\).

Step2: Calculate the angle measure

\(\frac{180^\circ}{3}=60^\circ\). So the measure of each angle in an equilateral triangle is \(60^\circ\).

Answer:

\(60^\circ\) (corresponding to the option with \(60^\circ\))