Problem 21 - Algebra and Trigonometry

Question

Solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. $$a=3, b=3, c=3$$

Step-by-Step Solution

Answer

The triangle is an equilateral triangle and each of its angles measures \(60^{\circ}\).

Step 1: Identify the type of triangle

Given that all sides a, b, and c are equal (each being 3), we can identify the triangle as an equilateral triangle.

Step 2: Calculate the angles

In an equilateral triangle, all angles are equal. Also, the sum of angles in any triangle is \(180^{\circ}\). Therefore, each angle in the triangle is \(\frac{180^{\circ}}{3} = 60^{\circ}\).