Calculating Area and Theorems

The video tutorial explains how to find the area of a shaded triangle within a compound shape. It begins by identifying the shape as a square and a right-angle triangle. The height of the triangle is determined using the side length of the square, calculated from its area. The base of the triangle is found using Pythagoras theorem. Finally, the area of the triangle is calculated using the base and height.

What is the main objective of the problem discussed in the video?

• To determine the volume of a cube

• To calculate the area of a shaded triangle

• To measure the length of a rectangle

• To find the perimeter of a square

What is the area of the square given in the problem?

• 16 m²

• 12 m²

• 25 m²

• 9 m²

How do you find the side length of the square?

• By multiplying the area by 2

• By halving the area

• By taking the square root of the area

• By doubling the area

What is the side length of the square?

• 4 m

• 5 m

• 3 m

• 6 m

What is the height of the triangle?

• 6 m

• 3 m

• 5 m

• 4 m

Which theorem is used to find the base of the triangle?

• Thales' theorem

• Pythagorean theorem

• Euclid's theorem

• Fermat's theorem

What is the formula for the Pythagorean theorem?

• a² - b² = c²

• a + b = c²

• a² + b² = c²

• a² + b² = c

What is the length of the hypotenuse in the triangle?

• 3 m

• 4 m

• 6 m

• 5 m

What is the base of the triangle after calculation?

• 4 m

• 3 m

• 6 m

• 5 m

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

• Base x Height

• 1/2 x Base x Height

• Base + Height

• Base - Height