Understanding the Pythagorean Theorem and Triangle Area

The video tutorial explains how to solve a Pythagorean theorem problem by finding the hypotenuse of a right triangle with given side lengths. It demonstrates the calculation process, including taking the square root to find the hypotenuse, and highlights the common 5-12-13 Pythagorean triple. Additionally, the tutorial covers how to calculate the area of the triangle using the base and height, emphasizing the formula for the area of a right triangle.

What are the given lengths of sides A and B in the triangle?

• A is 5, B is 12

• A is 12, B is 5

• A is 13, B is 12

• A is 5, B is 13

Which formula is used to find the hypotenuse in a right triangle?

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c

What is the value of C after solving the equation 25 + 144 = c^2?

• 15

• 14

• 13

• 12

Why do we only consider the positive value of C when solving for the hypotenuse?

• Lengths cannot be negative

• C is always negative

• Lengths can be negative

• C is always positive

What is a common Pythagorean triple mentioned in the video?

• 3, 4, 5

• 5, 12, 13

• 6, 8, 10

• 7, 24, 25

What is the formula for calculating the area of a right triangle?

• Base * Height

• 1/2 * Base * Height

• Base + Height

• Base - Height

What are the base and height of the triangle used to calculate the area?

• Base is 5, Height is 12

• Base is 13, Height is 12

• Base is 5, Height is 13

• Base is 12, Height is 5

What is the area of the triangle calculated in the video?

• 25 square units

• 60 square units

• 30 square units

• 50 square units