SOLUTION: The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square. https://web2.0calc.com/api/ssl-img-proxy?src=%2

Algebra ->  Geometry-proofs -> SOLUTION: The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square. https://web2.0calc.com/api/ssl-img-proxy?src=%2      Log On


   

Question 1210518: The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.
https://web2.0calc.com/api/ssl-img-proxy?src=%2Fimg%2Fupload%2Faf6a1af0cd0ede49901885c6%2Fsquare-triangles.png
Answer by ikleyn(53570) About Me  (Show Source):
You can put this solution on YOUR website!
.
The diagram below consists of a small square, four equilateral triangles,
and a large square. Find the area of the large square.
https://web2.0calc.com/api/ssl-img-proxy?src=%2Fimg%2Fupload%2Faf6a1af0cd0ede49901885c6%2Fsquare-triangles.png
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The side length of the large square is 2.5 units, which is obvious from the consideration in horizontal direction.

Hence, the area of the large square is 2.5%5E2 = 6.25 square units.

As simple as an orange :)