Question

problem 21: (first taught in lesson 29)
write the converse of this statement and decide whether it is true or false. then, select the correct answer.
if a triangle is scalene, then all its sides have different lengths.
a b c d e
if a triangle has all sides with different lengths, then it is scalene; false

Explanation:

Step1: Define converse

The converse of "if p then q" is "if q then p". Here p = "a triangle is scalene" and q = "all its sides have different lengths". So the converse is "If a triangle has all sides with different lengths, then it is scalene".

Step2: Determine truth - value

By the definition of a scalene triangle (a triangle with all sides of different lengths), the converse statement is true.

Answer:

A. If a triangle has all sides with different lengths, then it is scalene; true