Isosceles Trapezoids: Calculate The Missing Side based on the formula

True / false Using angle properties

Question 1

The perimeter of the trapezoid equals 22 cm.

AB = 7 cm

AC = 3 cm

BD = 3 cm

What is the length of side CD?

Question 2

Given that: the perimeter of the trapezoid is equal to 75 cm

AB= X cm

AC= 15 cm

BD= 15 cm

CD= X+5 cm

Find the size of AB.

Question 3

Given that: the perimeter of the trapezoid is equal to 35 cm

AB= 10 cm

CD= 15 cm

The isosceles trapezoid

Find the sum of the sizes of the sides.

Examples with solutions for Isosceles Trapezoids: Calculate The Missing Side based on the formula

Exercise #1

The perimeter of the trapezoid equals 22 cm.

AB = 7 cm

AC = 3 cm

BD = 3 cm

What is the length of side CD?

Video Solution

Step-by-Step Solution

Since we are given the perimeter of the trapezoid and not the length of CD, we can calculate:

$22=3+3+7+CD$

$22=CD+13$

$22-13=CD$

$9=CD$

Answer

Exercise #2