What is the Pythagorean theorem

The video tutorial explains the Pythagorean theorem, which applies to right triangles. It describes the sides of a right triangle, with the hypotenuse being opposite the right angle. The theorem states that the sum of the squares of the two legs equals the square of the hypotenuse. The video also introduces the use of variables a, b, and c to represent the lengths of the sides, emphasizing that the theorem only holds for right triangles.

What is the side opposite the right angle in a right triangle called?

• Altitude

• Base

• Leg

• Hypotenuse

According to the Pythagorean Theorem, what is the relationship between the sides of a right triangle?

• The legs are equal in length

• The hypotenuse is twice the length of one leg

• The square of the hypotenuse equals the sum of the squares of the legs

• The sum of the legs equals the hypotenuse

Which of the following equations represents the Pythagorean Theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

• a^2 + c^2 = b^2

• a + b = c

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

• Angles of the triangle

• Lengths of the sides

• Perimeter of the triangle

• Area of the triangle

When can the Pythagorean Theorem be applied?

• Only in isosceles triangles

• In any triangle

• Only in right triangles

• In equilateral triangles