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Chapter 10: Q.32 (page 541)

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

  1. Acute G. Obtuse H. Right I. Equiangular

Short Answer

Expert verified

The triangle will be right. Option H is correct.

Step by step solution

01

Step 1. Given Information.

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

02

Step 2. Concept Used.

Angle sum property of triangle.

∠A+∠B+∠C=180°

03

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, ∠Band∠C.

x+2x+3x=1806x=180x=1806x=30

Angles are:

1x=1×30=30°

2x=2×30=60°

3x=3×30=90°

04

Step 4. Conclusion.

Since, one angle is90°, it is a right-angled triangle. Thus, option H is the correct option.

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