Calculate Distance DF in Parallelogram ABCD Given AB=8, BC=16, BE=10

Question

Look at the parallelogram ABCD.

Calculate DF using the following:

AB=8 AB=8

BC=16 BC=16

BE=10 BE=10

161616888101010BBBCCCDDDAAAEEEFFF

Video Solution

Solution Steps

00:00 Find DF
00:04 We'll use the formula for calculating the area of a parallelogram (base times height)
00:08 2 possibilities to calculate, there are 2 heights
00:13 We'll substitute appropriate values according to the given data
00:24 Opposite sides are equal in a parallelogram
00:29 We'll substitute and solve, compare to the second formula
00:36 Isolate DF
00:40 And this is the solution to the question

Answer

20