Trapezoid thirds

The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment.

Result

x : (Correct answer is: ) OK

Step-by-step explanation:

S1 = xh/2 S2 = (ax)h S1=S2 xh/2 = (ax)h x = 2a  2x 3x = 2a x=x = AE = 2/3 a



Help us improve the example. If you find a mistake, let us know. Thank you!



Showing 1 comment:
Dr Math
AE = 2/3 AB





Tips for related online calculators
Do you want to convert length units?
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

algebraplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: