Question

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The converse of the Pythagorean Theorem istrue.

Short answer

The given sentence is True.

Step-by-step solution

Step 1. Write the Pythagorean Theorem and converse of the Pythagorean Theorem.

The Pythagorean theorem states that the sum of the squares of the legs of the triangle is equal to the square of the side that is opposite to the right angle.

Step 2. Explanation

The converse of Pythagorean theorem states that if the square of the longest side of the triangle is equal to the sum of the squares of the other two sides of the triangle, then the triangle is a right triangle.

Step 3. Determine whether the given sentence is true or false.

The given sentence is true.