Problem 22 - Algebra and Trigonometry

Question

Solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. $$a=5, b=5, c=5$$

Step-by-Step Solution

Answer

For the given equilateral triangle, the measurements are \(a = 5.0\), \(b = 5.0\), and \(c = 5.0\) and each angle measures \(60^{\circ}\).

Step 1: Identify the type of triangle

Given that all sides are equal (\(a = b = c = 5\)), the triangle is equilateral. As per the property of an equilateral triangle, all its angles are equal.

Step 2: Use properties of equilateral triangle

In an equilateral triangle, each angle measures \(60^{\circ}\).

Step 3: Assign value for each side

The length of each side is \(5\) units. However, the prompt asked for measurements rounded to the nearest tenth. So, the lengths of the sides are \(5.0\) units each.