Understanding the Pythagorean Theorem

This video tutorial explains how to determine the length of a leg in a right triangle using the Pythagorean Theorem. It covers the theorem's basic components, including the hypotenuse and legs, and demonstrates solving an example problem. The process involves setting up the equation, simplifying it, and verifying the solution using a calculator.

What is the main concept of the Pythagorean Theorem?

• It relates the angles of a triangle.

• It calculates the area of a triangle.

• It determines the perimeter of a triangle.

• It relates the lengths of the sides of a right triangle.

In a right triangle, what is the hypotenuse?

• The shortest side of the triangle.

• The side opposite the right angle.

• The side adjacent to the right angle.

• Any side of the triangle.

When labeling the sides of a right triangle, which side is always labeled 'C'?

• Any side can be 'C'.

• The shortest side.

• The longest side.

• The side opposite the smallest angle.

What is the equation used in the Pythagorean Theorem?

• A^2 + B^2 = C

• A^2 = B^2 + C^2

• A^2 + B^2 = C^2

• A + B = C^2

If one leg of a right triangle is 14 cm and the hypotenuse is 18 cm, what is the equation to find the other leg?

• X^2 + 14^2 = 18

• X^2 = 18^2 - 14^2

• X^2 = 18^2 + 14^2

• X^2 + 14^2 = 18^2

What is the result of subtracting 196 from 324 in the context of this problem?

• 324

• 196

• 0

• 128

What is the square root of 128 simplified in terms of a perfect square?

• 8√2

• 2√2

• 16√2

• 4√2

What is the approximate decimal value of the square root of 128?

• 12.3

• 13.3

• 10.3

• 11.3

How can you verify the simplification of the square root of 128?

• By checking if 8 x √2 equals 13.3

• By checking if 8 x √2 equals 12.3

• By checking if 8 x √2 equals 10.3

• By checking if 8 x √2 equals 11.3

Why do we only consider the positive square root when solving for the length of a side?

• Because it is a convention.

• Because it simplifies the calculation.

• Because lengths are always positive.

• Because lengths can be negative.