Pythagorean Theorem

What do you call a triangle with one angle greater than 90 degrees?

• Acute triangle

• Right triangle

• Obtuse triangle

• Equilateral triangle

What is the Pythagorean Theorem formula?

• a² + b² = c², where c is the hypotenuse.

• a² - b² = c², where c is the hypotenuse.

• a + b = c, where c is the hypotenuse.

• a² + b² = 2c², where c is the hypotenuse.

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The sum of the lengths of the two shorter sides is equal to the length of the hypotenuse.

• The product of the lengths of the two shorter sides is equal to the length of the hypotenuse.

• The square of the hypotenuse is equal to the difference of the squares of the other two sides.

What is the Pythagorean Theorem used for?

• To find the lengths of sides in a right triangle.

• To calculate the area of a circle.

• To determine the slope of a line.

• To find the perimeter of a rectangle.

In a right triangle, if the hypotenuse is 25 cm and one leg is 7 cm, what is the length of the other leg?

• 20 cm

• 22 cm

• 24 cm

• 26 cm

If the lengths of the two legs of a right triangle are 3 cm and 4 cm, what is the length of the hypotenuse?

• 4 cm

• 5 cm

• 6 cm

• 7 cm

If the sides of a triangle are 8, 15, and 17, which side is the hypotenuse?

• 8

• 15

• 17

• 10

If a triangle has sides of lengths 6, 8, and 10, is it a right triangle?

• Yes, because 6² + 8² = 10².

• No, because the sides do not satisfy the Pythagorean theorem.

• Yes, because it is an equilateral triangle.

• No, because the longest side is not the hypotenuse.

In a right triangle, if one leg is 6 cm and the hypotenuse is 10 cm, what is the length of the other leg?

• 6 cm

• 7 cm

• 8 cm

• 9 cm

If a right triangle has a hypotenuse of 13 cm and one leg of 5 cm, what is the length of the other leg?

• 10 cm

• 11 cm

• 12 cm

• 14 cm