Question

problem 21: (first taught in lesson 29) select the converse of this statement and determine whether it is true or false. if a triangle is obtuse, then it has one angle that is greater than 90°.

Explanation:

Step1: Define converse

Switch hypothesis and conclusion.
Original: If A (triangle is obtuse), then B (one angle > 90°). Converse: If B, then A.

Step2: Determine truth - value

By definition, a triangle with one angle greater than 90° is an obtuse - angled triangle, so it is true.

Answer:

Converse: If a triangle has one angle that is greater than 90°, then it is obtuse. True.