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Chapter 3: Q4. (page 112)

Complete each statement with the word always, sometimes, or never.

An obtuse triangle is ?炉a right triangle.

Short Answer

Expert verified

An obtuse triangle is never a right triangle.

Step by step solution

01

Step 1. Definition of an obtuse triangle.

An obtuse triangle is one that has one of the angles measure greater than 90掳.

02

Step 2. Description of step.

The sum of all the three angles in a triangle is 90掳.

An obtuse triangle is one that has one of the angles measure greater than 90掳.

Therefore, for the obtuse triangle, the sum of the other two angles should be less than 90掳.

Therefore, in the obtuse triangle, no angle can be equal to 90掳.

03

Step 3. Write the conclusion.

Therefore, in the obtuse triangle, no angle can be a right angle.

Therefore, an obtuse triangle is never a right triangle.

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