Chapter 10: Q.1 (page 539)

The ratio of the angle measures of a triangle is $1 : 1 : 1$ . Find the angle measures. Then classify the triangle by its angle measures.

Short Answer

Expert verified

The measure of all the angles measure is $60 °$ .

The triangle is an equilateral triangle.

Step by step solution

Step 1. Given Information.

The ratio of angles of a triangle is $1 : 1 : 1$ .

Step 2. Formula.

Sum of all angles of a triangle is $180 °$ .

Step 3. Calculation.

The sum of all the angles of a triangle is $180 °$ .

Let x be the angle of a triangle.

$x + x + x = 180 °$

This gives us,

$3 x = 180 °$

Dividing both sides by 3.

$x = \frac{180 °}{3}$

Hence, final value of x is $x = 60 °$ .

Step 4. Conclusion.

The angle measures is $60 °$ .

Since all the angles of the triangle are same it is an equilateral triangle.

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The ratio of the angle measures of a triangle is $1 : 1 : 1$ . Find the angle measures. Then classify the triangle by its angle measures.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula.

Step 3. Calculation.

Step 4. Conclusion.

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The ratio of the angle measures of a triangle is1:1:1. Find the angle measures. Then classify the triangle by its angle measures.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

The ratio of the angle measures of a triangle is $1 : 1 : 1$ . Find the angle measures. Then classify the triangle by its angle measures.