Determine if the sides of a triangle produce a right triangle ex 1

The video tutorial explains how to determine if three given sides form a right triangle using the converse of the Pythagorean theorem. It identifies the largest side as the hypotenuse and applies the theorem by squaring the sides and checking if the sum of the squares of the legs equals the square of the hypotenuse. The calculations confirm that the sides form a right triangle, with the hypotenuse being 11 and the legs being 2√10 and 9.

What is the purpose of using the converse of the Pythagorean theorem in this context?

• To find the perimeter of a triangle

• To determine if a triangle is equilateral

• To calculate the area of a triangle

• To verify if a set of sides can form a right triangle

Which side is identified as the hypotenuse in the given problem?

• 3

• 11

• 9

• 2 sqrt 10

What is the result of squaring 2 sqrt 10?

• 20

• 10

• 40

• 30

What is the sum of the squares of the two legs in the problem?

• 121

• 81

• 40

• 100

What conclusion is drawn about the sides 2 sqrt 10, 9, and 11?

• They form an isosceles triangle

• They form a right triangle

• They do not form a triangle

• They form an equilateral triangle