Write a proof for the biconditional using the conditional and converse. A triangle is equilateral if and only if all the side lengths of the triangle are equal.

see below

Step-by-step explanation:

Hypothesis (p): A triangle is equilateral

Conclusion (q): The side lengths are equal

Conditional (p → q): If a triangle is equilateral, then its side lengths are equal.

The conditional statement is TRUE

Converse (q → p): If the side lengths of a triangle are equal, then it is equilateral.

The converse statement is TRUE

Since p → q   and  q → p are both TRUE, then it is biconditional.