Finding Diagonals in Rectangles

In this video, Sean Ian explains how to find the measure of a rectangle's diagonal using the Pythagorean theorem. The video begins with an introduction to rectangles and their properties, including the concept of diagonals. Sean then demonstrates how to apply the Pythagorean theorem to calculate the diagonal length, using a rectangle with side lengths of three and four as an example. The video concludes with a recap of the process and an invitation for viewers to ask questions or subscribe for more math content.

What is the significance of 90-degree angles in a rectangle?

• They make the rectangle a parallelogram.

• They ensure the rectangle has equal sides.

• They make the rectangle a square.

• They allow the use of the Pythagorean theorem.

How does a diagonal divide a rectangle?

• Into two squares.

• Into four equal parts.

• Into two congruent rectangles.

• Into two right triangles.

What is true about the diagonals of a rectangle?

• They are always parallel.

• They are always unequal.

• They are always perpendicular.

• They are always congruent.

In the example, what are the side lengths of the rectangle?

• 3 and 4

• 3 and 5

• 4 and 5

• 4 and 6

What is the Pythagorean theorem used for in this context?

• To find the volume of the rectangle.

• To find the length of the diagonal.

• To find the perimeter of the rectangle.

• To find the area of the rectangle.

What is the formula for the Pythagorean theorem?

• a^2 = b^2 + c^2

• a + b = c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = c

What is the length of the diagonal in the example rectangle?

• 4

• 7

• 5

• 6

What is the sum of the squares of the legs in the example?

• 16

• 20

• 25

• 9

What is the square root of 25?

• 4

• 5

• 6

• 7

What is the relationship between the diagonals in a square?

• They are unequal.

• They are parallel.

• They are congruent.

• They are perpendicular.