Pythagorean Theorem

What type of triangle does the Pythagorean Theorem apply to?

• Equilateral triangles

• Isosceles triangles

• Right triangles

• Scalene triangles

What is the length of the missing side if one leg is 8 cm and the hypotenuse is 10 cm?

• 4 cm

• 5 cm

• 6 cm

• 7 cm

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

• Yes, because 7² + 24² = 25².

• No, because 7² + 24² < 25².

• Yes, because 7² + 24² > 25².

• No, because the triangle is not valid.

Calculate the perimeter of a right triangle with legs of 3 cm and 4 cm.

• 10 cm

• 11 cm

• 12 cm

• 13 cm

What is the relationship between the sides of a right triangle?

• 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 hypotenuse is always the longest side, but its length is not related to the other sides.

• The area of the triangle is equal to the sum of the areas of the two shorter sides.

What is a common application of the Pythagorean Theorem in sports?

• To calculate the distance a player must run to reach a point on the court.

• To determine the angle of a shot in soccer.

• To measure the height of a basketball hoop.

• To analyze the speed of a runner in a race.

If the lengths of the legs of a right triangle are 5 cm and 12 cm, what is the length of the hypotenuse?

• 10 cm

• 12 cm

• 13 cm

• 15 cm

What is the formula to find the perimeter of a right triangle?

• P = a + b + c

• P = 2(a + b)

• P = a^2 + b^2

• P = a * b * c

What is the Pythagorean Theorem?

• The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².

• The Pythagorean Theorem states that in any triangle, the sum of the angles is equal to 180 degrees.

• The Pythagorean Theorem states that the area of a circle is equal to π times the radius squared.

• The Pythagorean Theorem states that in a right triangle, the length of the hypotenuse is always greater than the length of either leg.

If one leg of a right triangle is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?

• 4 cm

• 5 cm

• 6 cm

• 7 cm