Determine the length of a diagonal of a rectangle

The video tutorial explains how to find the length of a diagonal in a rectangle by setting up and solving an equation. It begins with a discussion on the properties of rectangles, particularly the bisecting nature of their diagonals. The instructor sets up an equation to find the variable X, solves it, and uses the value to calculate the diagonal's length. The lesson concludes with a reminder to complete homework.

What is the relationship between the diagonals in a rectangle?

• They are equal in length and bisect each other.

• They are parallel.

• They are perpendicular.

• They are unequal in length.

What equation is set up to find the value of X?

• 3X - 5 = 5X + 3

• 3X - 3 = 5X + 15

• 3X + 5 = 5X - 3

• 3X + 3 = 5X - 15

After solving the equation, what is the value of X?

• X = 7

• X = 11

• X = 9

• X = 5

How do you find the length of the entire diagonal AC?

• By adding the lengths of AE and EC.

• By dividing the length of AE by 2.

• By subtracting the length of AE from EC.

• By multiplying the length of AE by 2.

What is the length of the diagonal AC when X is 9?

• 45

• 50

• 60

• 70