SOLUTION: If you have three squares each having an area of 10 cm^2, they form a triangle by touching corners what is the area of the triangle

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Question 839425: If you have three squares each having an area of 10 cm^2, they form a triangle by touching corners what is the area of the triangle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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If you have three squares each having an area of 10 cm^2, they form a triangle by touching corners what is the area of the triangle
:
sqrt%2810%29 = the side of the square and the sides of the equilateral triangles formed by the 3 squares
:
Find the altitude of the triangle, (a)
This is an equilateral triangle all angles = 60 degrees
Use the sine of 60 to find the altitude
sin(60) = a%2Fsqrt%2810%29
a = 2.74 is the altitude of the triangle
A = 1%2F2*sqrt%2810%29+%2A+2.74
A = 4.33 sq/cm