Chapter E, Problem 7.1EX

To determine

To find: The largest angle of the triangle.

Answer to Problem 7.1EX

The largest angle of the triangle $x={72}^{\circ }$ .

Explanation of Solution

Given information: If the measure of the angles of a triangle are in the ratio $3:3:4$ .

Formula used: The sum of interior of triangle is ${180}^{\circ }$ .

Calculation:the angle of a trianglesarein the ratio $3:3:4$ .

Let $3x,3x\text{ and }4x$ represent the measure.

Then

  $\begin{array}{l}3x+3x+4x={180}^{\circ }\\ 10x={180}^{\circ }\\ x={18}^{\circ }\end{array}$

The largest angle of the triangle $=4x$ .

The largest angle of the triangle $x={72}^{\circ }$ .