Missing Side of a Right Triangle

The video tutorial explains how to find the missing side of a right triangle using the Pythagorean theorem. It presents a problem where two sides of a right triangle are given, and the task is to find the possible lengths of the third side. The solution involves using the Pythagorean theorem to calculate the hypotenuse or one of the legs, depending on the given sides. The tutorial also explores an alternative scenario where the given sides are the hypotenuse and one leg, requiring a different calculation. The video concludes by summarizing the application of the Pythagorean theorem in solving such problems.

What is the Pythagorean theorem used for in a right triangle?

• To determine the length of a missing side

• To find the angles of the triangle

• To find the area of the triangle

• To calculate the perimeter of the triangle

If the two legs of a right triangle are 5 cm and 10 cm, what is the length of the hypotenuse?

• sqrt 125 cm

• sqrt 100 cm

• 12 cm

• 15 cm

Which side of a right triangle is always the longest?

• The height

• The base

• The hypotenuse

• Any side

In a right triangle, if one leg is 5 cm and the hypotenuse is 10 cm, what is the length of the other leg?

• sqrt 75 cm

• sqrt 50 cm

• 8 cm

• 10 cm

What is the sum of the squares of the legs of a right triangle equal to?

• The square of the base

• The square of the hypotenuse

• The square of the height

• The sum of the hypotenuse and one leg