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Chapter 7: Q26. (page 244)

Find the measure of each angle.

The measures of the angles of a triangle are in the ratio3:4:5.

Short Answer

Expert verified

The measure of each angle is45鈭�,60鈭� and75鈭� .

Step by step solution

01

Step 1. Given information.

The ratio between angles of a triangle is,

3:4:5

02

Step 2. Concept used.

The sum of angles of a triangle is180鈭�

Since, ratio of the angles is always in the simplified form,

it might not represent the actual measure.

03

Step 3. Consider the angles as3x,4x, and5x .

The sum of the angles of the triangle can be expressed using the above relation as,

3x+4x+5x=18012x=180x=15

So each of the angles are given by,

3x=3脳153x=454x=4脳154x=60

And,

5x=5脳155x=75

Therefore, the measure of each angle is 45鈭�,60鈭�and75鈭�.

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