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Solution Details
Title: In the accompanying figure, ABCD a trapezoid and triangle ADM, MAB and BCM are equilateral triangles. If AB=2,then what is the area of trapezoid ABCD?
Main Category: Quadrilaterals (4 sides) - Geometry
Difficulty Level: MEDIUM
ID: 736 Times Viewed: 6 Times Test Taken: 1
   
Question:
 

In the accompanying figure, a trapezoid and triangle , and are equilateral triangles.

If , then what is the area of trapezoid


Solution:
 

Values:

Formula used:

Area of equilateral triangle

Given that the three triangles are equilateral and therefore the area of the three triangles will also be same.

Now area of one equilateral triangle with side

Therefore the area of triangle having side

So the area of all three triangles

the area of trapezoid

(Answer)

Refrence:

Equilateral Triangle

http://en.wikipedia.org/wiki/Equilateral_triangle

 

 

 
 
 
 

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