Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

Answers without the blur.

Just sign up for free and you're in.

Short Answer

The ratio of the angle measures of a triangle is $1 : 2 : 3$ . Classify the triangle by its angle measures.

Acute G. Obtuse H. Right I. Equiangular

The triangle will be right. Option H is correct.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

Ratio of angle measures of a triangle is $1 : 2 : 3$ .

Step 2. Concept Used.

Angle sum property of triangle.

$∠ A + ∠ B + ∠ C = 180 °$

Step 3. Calculation.

According to angle sum property of triangle,

$∠ A + ∠ B + ∠ C = 180 °$

Let angles be x, 2x, and 3x respectively.

Substitute the value of $∠ A$ , $∠ B$ and $∠ C$ .

$\begin{matrix} x + 2 x + 3 x = 180 \\ 6 x = 180 \\ x = \frac{180}{6} \\ x = 30 \end{matrix}$

Angles are:

$\begin{matrix} 1 x = 1 \times 30 \\ = 30 ° \end{matrix}$

$\begin{matrix} 2 x = 2 \times 30 \\ = 60 ° \end{matrix}$

$\begin{matrix} 3 x = 3 \times 30 \\ = 90 ° \end{matrix}$

Step 4. Conclusion.

Since, one angle is $90 °$ , it is a right-angled triangle. Thus, option H is the correct option.

Find Study Materials for

Create Study Materials

Select your language

Pre-algebra

Answers without the blur.

Short Answer

The ratio of the angle measures of a triangle is $1 : 2 : 3$ . Classify the triangle by its angle measures.

Acute G. Obtuse H. Right I. Equiangular

Step by Step Solution

Step 1. Given Information.

Step 2. Concept Used.

Step 3. Calculation.

Step 4. Conclusion.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Pre-algebra

Answers without the blur.

Short Answer

The ratio of the angle measures of a triangle is 1:2:3. Classify the triangle by its angle measures. Acute G. Obtuse H. Right I. Equiangular

Step by Step Solution

Step 1. Given Information.

Step 2. Concept Used.

Step 3. Calculation.

Step 4. Conclusion.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

The ratio of the angle measures of a triangle is $1 : 2 : 3$ . Classify the triangle by its angle measures.

Acute G. Obtuse H. Right I. Equiangular