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Chapter 3: Q4. (page 112)

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

An obtuse triangle is ?¯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°.

02

Step 2. Description of step.

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

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

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

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

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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