Pythagorean Theorem and Triangle Properties

The video tutorial from Rumah Gemar Matematika introduces the Pythagorean Theorem, explaining its application to right triangles. It provides a detailed explanation of the theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The tutorial includes three examples: calculating the hypotenuse, and finding the length of a leg in two different scenarios. Each example is explained step-by-step, demonstrating the use of the theorem in practical situations. The video encourages viewers to support the channel by liking, subscribing, and enabling notifications.

What type of triangle is the Pythagorean Theorem applicable to?

• Equilateral triangle

• Isosceles triangle

• Right-angled triangle

• Scalene triangle

In the Pythagorean Theorem, what does 'c' represent?

• The area of the triangle

• The hypotenuse of the triangle

• The height of the triangle

• The base of the triangle

How do you calculate the hypotenuse using the Pythagorean Theorem?

• a² - b² = c²

• a² + b² = c

• c = a + b

• c² = a² + b²

If the hypotenuse is 10 cm and one side is 6 cm, what is the length of the other side?

• 5 cm

• 4 cm

• 7 cm

• 8 cm

What is the formula to calculate the base 'a' in a right-angled triangle?

• a² = c² + b²

• a² = c² - b²

• a² = b² - c²

• a² = c + b

If the hypotenuse is 20 cm and the base is 16 cm, what is the height?

• 8 cm

• 12 cm

• 10 cm

• 15 cm

What is the square root of 144?

• 10

• 13

• 11

• 12

If the hypotenuse is 5 cm and the height is 4 cm, what is the base?

• 5 cm

• 4 cm

• 6 cm

• 3 cm

What is the square root of 9?

• 2

• 3

• 5

• 4

What is the final step in solving for a side using the Pythagorean Theorem?

• Take the square root of the result

• Subtract the squares of the sides

• Multiply the sides

• Add the squares of the sides