Isosceles Trapezoids: Calculate The Missing Side based on the formula

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?

AAABBBDDDCCC733

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=3+3+7+CD

22=CD+13 22=CD+13

2213=CD 22-13=CD

9=CD 9=CD

Answer

9

Exercise #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.

AAABBBDDDCCCX1515X+5

Video Solution

Answer

20

Exercise #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.

AAABBBDDDCCC1015

Video Solution

Answer

10