Chapter 7: Q28. (page 244)

Find the measure of each angle.
The measures of the angles of an isosceles triangle are in the ratio $3 : 3 : 2$ .

Short Answer

Expert verified

The measure of each angle is, $67.5 °$ , $67.5 °$ and $45 °$

Step by step solution

Step 1. Given Information.

The ratio between angles of an isosceles triangle is,

$3 : 3 : 2$

Step 2. Concept Used.

The sum of angles of a triangle is, $180^{\circ}$ .

Since,

ratio of the angles is always in the simplified form,

it might not represent the actual measure.

So,

Step 3. consider the angles as 3x,3x and2x .

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

$\begin{matrix} 3 x + 3 x + 2 x = 180 \\ 8 x = 180 \\ x = \frac{180}{8} \\ = 22.5 \end{matrix}$

So, each of the angles are given by,

$\begin{matrix} 3 x = 3 \times 22.5 \\ = 67.5 ° \end{matrix}$

$\begin{matrix} 2 x = 2 \times 22.5 \\ = 45 ° \end{matrix}$

Therefore, the angles of the isosceles triangle are, $67.5 °$ , $67.5 °$ and $45 °$ .

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Find the measure of each angle.
The measures of the angles of an isosceles triangle are in the ratio $3 : 3 : 2$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept Used.

Step 3. consider the angles as 3x,3x and2x .

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Find the measure of each angle.The measures of the angles of an isosceles triangle are in the ratio 3:3:2.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept Used.

Step 3. consider the angles as 3x,3x and2x .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Logic and Functions

Geometry

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the measure of each angle.
The measures of the angles of an isosceles triangle are in the ratio $3 : 3 : 2$ .