Pythagorean Theorem Basics

How do you find the length of the hypotenuse using the Pythagorean Theorem?

• c = √(a² + b²)

• c = a + b

• c = a - b

• c = a × b

What is the formula to calculate the area of a right triangle?

• Area = base * height

• Area = (1/2) * base * height

• Area = base + height

• Area = (1/2) * (base + height)

In the Pythagorean Theorem, what do the variables a, b, and c represent?

• 'a' and 'b' represent the lengths of the legs of the triangle, while 'c' represents the length of the hypotenuse.

• 'a' represents the area of the triangle, 'b' represents the perimeter, and 'c' represents the length of the hypotenuse.

• 'a' represents the length of the hypotenuse, 'b' represents the area of the triangle, and 'c' represents the lengths of the legs.

• 'a' represents the lengths of the legs of the triangle, while 'b' represents the length of the hypotenuse and 'c' represents the area.

What type of triangle does the Pythagorean Theorem apply to?

• Equilateral triangles

• Isosceles triangles

• Right triangles

• Scalene triangles

What is the value of 9²?

• 72

• 81

• 90

• 64

How can you verify if a triangle is a right triangle using the Pythagorean Theorem?

• Check if the square of the length of the longest side equals the sum of the squares of the lengths of the other two sides.

• Ensure that all three sides are equal in length.

• Measure the angles and confirm one is 90 degrees.

• Calculate the perimeter and check if it is an even number.

If one leg of a right triangle is 12 and the other leg is 9, what is the length of the hypotenuse?

• 12

• 15

• 18

• 21

What is the Pythagorean Theorem?

• 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 sum of the angles in a triangle is equal to 180 degrees.

• The area of a triangle is calculated as 1/2 * base * height.

• In a right triangle, the length of the hypotenuse is always greater than the lengths of the other two sides.

What is the converse of the Pythagorean Theorem?

• If a triangle has sides of lengths a, b, and c, and if a² + b² = c², then the triangle is a right triangle.

• If a triangle is a right triangle, then a² + b² = c².

• If a triangle has sides of lengths a, b, and c, then a² + b² > c².

• If a triangle has sides of lengths a, b, and c, and if a² + b² < c², then the triangle is not a right triangle.

What is the relationship between the legs of a right triangle and the right angle?

• The legs of a right triangle are the two sides that form the right angle.

• The legs of a right triangle are always equal in length.

• The legs of a right triangle are the hypotenuse and one of the other sides.

• The legs of a right triangle are the sides opposite the right angle.