Question

drag a vertex of the triangle to change its shape. double - click or double - tap a vertex or side to prevent it from changing.
problem: construct a triangle with side lengths 6, 6, and 6. what are the angle measures for the triangle?

Explanation:

Step1: Recall the properties of an equilateral triangle

An equilateral triangle has all sides equal. By the SSS (Side - Side - Side) congruence criterion, all angles are equal.

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let each angle be \(x\). Then \(x + x+ x=180^{\circ}\), i.e., \(3x = 180^{\circ}\).

Step3: Solve for \(x\)

Dividing both sides by 3, we get \(x=\frac{180^{\circ}}{3}=60^{\circ}\)

Answer:

Each angle of the triangle measures \(60^{\circ}\)