Finding the Hypotenuse of a Right Triangle and the Converse

What is the Pythagorean Theorem's converse used for?

• Measuring the volume of a cylinder

• Solving for the perimeter of a square

• Finding the area of a rectangle

• Determining if a triangle is a right triangle

In a right triangle, which side is opposite the right angle?

• Opposite

• Adjacent

• Hypotenuse

• None of the above

What is the Pythagorean Theorem's primary application in real-world scenarios?

• Estimating temperature

• Measuring weight

• Calculating distances

What is the Pythagorean Theorem's converse?

• If a^2 + b^2 = c^2, then the triangle is not a right triangle

• If a^2 + b^2 < c^2, then the triangle is a right triangle

• If a^2 + b^2 > c^2, then the triangle is a right triangle

• If a^2 + b^2 = c^2, then the triangle is a right triangle

What is the sum of the squares of the legs of a right triangle equal to?

• Product of the legs

• Square of the hypotenuse

• Sum of the legs

• Difference of the legs

If a triangle has sides of lengths 9, 40, and 41, is it a right triangle?

• Yes

• No

• Cannot determine

• Sometimes

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

• Yes

• No

• Sometimes

• Cannot determine

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

• Yes

• No

• Cannot determine

• Sometimes

What is the formula for the Pythagorean Theorem?

What is the Pythagorean Theorem primarily used for?

• Measuring angles in a triangle

• Solving algebraic equations

• Calculating the area of a circle

• Finding the missing side of a right triangle