Chapter 12.1, Problem 4E

To determine

To find: the classification of triangle by its given side and measure the angle.

Answer to Problem 4E

The triangle is acute equilateral triangle.

Explanation of Solution

Given:

  

Concept used:

Sum of the three angles of triangle is always ${180}^0$ .

The equilateral triangle will have same side same angle ${60}^0$ .

Calculation:

A triangle having all three side of equal length is an equilateral triangle. since, all sides are equal, all angle are equal too.

  $\begin{array}{l}3x={180}^0.\\ x={60}^0.\end{array}$

The triangle is also acute triangle because the all angle is ${60}^0$ which is less than ${90}^0$ then the triangle is acute triangle.

Hence, the triangle is acute equilateral triangle.