perplexus.info :: Geometry : Triangles and Rectangle

Triangles and Rectangle (Posted on 2005-08-21)

Given a rectangle ABCD with |AB|=a and |BC|=b. There are two distinct equilateral triangles AEF and AGH with points E and G on line BC and points F and H on line CD. What is the product of the areas of the two triangles in terms of a and b?

See The Solution Submitted by Bractals

Rating: 3.3333 (3 votes)

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Puzzle Thoughts

Comment 6 of 6 |

The required product of the areas of the 2 triangles

= 3*[a^4 - (a*b)^2 + b^4]

Posted by K Sengupta on 2023-02-06 10:07:22

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