Pythagorean Theorem and Right Triangles

This video tutorial introduces the Pythagorean Theorem, explaining that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. It provides a proof using similar triangles and demonstrates how to solve for missing sides in right triangles. The tutorial concludes with a real-world application problem involving the theorem.

What is the longest side of a right triangle called?

• Leg

• Base

• Hypotenuse

• Altitude

In the Pythagorean Theorem, which side is represented by 'c'?

• The altitude

• The base

• The hypotenuse

• One of the legs

Which mathematical concept is used in the proof of the Pythagorean Theorem presented in the video?

• Similar triangles

• Congruent triangles

• Perpendicular bisectors

• Parallel lines

What is the result of the cross products in the proof of the Pythagorean Theorem?

• a^2 + b^2 = c^2

• Both a and b

• b^2 = c * d

• a^2 = c * e

If the legs of a right triangle are 12 and 9, what is the length of the hypotenuse?

• 24

• 15

• 18

• 21

What is the length of a leg if the hypotenuse is 22 and the other leg is 17?

• 19.96

• 13.96

• 15.96

• 17.96

What is the approximate length of the diagonal of a rectangle with sides 8T and 10T?

• 16.81 ft

• 14.81 ft

• 18.81 ft

• 12.81 ft

How many inches are approximately in 0.81 feet?

• 11.72 inches

• 12.72 inches

• 10.72 inches

• 9.72 inches

What is the purpose of converting feet to inches in the real-world application problem?

• To calculate the volume of a box

• To find the area of a rectangle

• To measure the length of a wall

• To use a tape measure accurately

Why is it important for Mason to start the pavers at a right angle?

• To ensure the patio is square

• To make the patio look larger

• To align with the house

• To ensure the dimensions are correct