Question

problem 22: (first taught in lesson 29) select the converse of this statement and determine whether it is true or false. if a triangle is acute, then it has one angle that measures less than 90.

Explanation:

Step1: Define converse

Switch hypothesis and conclusion.

Step2: Analyze truth - value

A triangle with one angle less than 90 can be obtuse or right - angled if another angle is 90 or greater. For example, a triangle with angles 30, 90, 60 has an angle less than 90 but is a right - triangle, not acute.

Answer:

Converse: If a triangle has one angle that measures less than 90, then it is acute. False.