Exploring the Pythagorean Theorem in Right Triangles

What type of triangle is the Pythagorean theorem applicable to?

• Right triangle

• Isosceles triangle

• Equilateral triangle

• Scalene triangle

Which side of the triangle is known as the hypotenuse?

• The side adjacent to the right angle

• The side opposite the right angle

• The shortest side

• The longest side

What is the first step in identifying the hypotenuse in a right triangle?

• Choose the longest side

• None of the above

• Locate the right angle

• Find the shortest side

In the Pythagorean theorem, what does c represent?

• One of the legs

• The hypotenuse

• The area of the triangle

• The perimeter of the triangle

What is the correct formula for the Pythagorean theorem?

• a^2 + b^2 = c

• c^2 = a^2 + b^2

• c = a^2 + b^2

• a^2 = b^2 + c^2

If the legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

• 10

• 14

• 12

• 8

For a triangle with legs 4 and 7, what is the hypotenuse?

• 8.09

• 8.06

• 9

• 11

If the hypotenuse is 14 and one leg is 9, what is the length of the other leg?

• 10.72

• 9.89

• 11.40

• 12

What is the length of a leg if the hypotenuse is 25 and the other leg is 20?

• 15

• 25

• 10

• 5

How do you isolate the variable when solving for a leg in the Pythagorean theorem?

• Add the square of the known leg

• Subtract the square of the known leg

• None of the above

• Multiply by the square of the hypotenuse