SOLUTION: find the total area of equilateral triangle(pls give me answer in square root formet ).there was a 12 number of equilateral triange which has each base is 2cm.

Algebra ->  Real-numbers -> SOLUTION: find the total area of equilateral triangle(pls give me answer in square root formet ).there was a 12 number of equilateral triange which has each base is 2cm.      Log On


   

Question 773711: find the total area of equilateral triangle(pls give me answer in square root formet ).there was a 12 number of equilateral triange which has each base is 2cm.
Found 2 solutions by rothauserc, stanbon:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
From your problem description, I understand that you have an equilateral triangle with each side equal to 2 cm.
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we need to find the altitude of the triangle. We use the theorem of Pythagoras,
1^2 + x^2 = 2^2
1 + x^2 = 4
x = square root(3)
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A = 1/2 *2 *square root(3)
A = square root(3) cm's

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the total area of equilateral triangle(pls give me answer in square root formet ).there was a 12 number of equilateral triange which has each base is 2cm.
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Looking at one of the equilatera triangles:::
Draw an altitude (a)
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That forms 2 right triangles.
base = 1 ; side = 2
a = sqrt[1+2^2} = sqrt(5)
Area of the right triangle = (1/2)base*altitude = (1/2)1*sqrt(5)
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Area of the equilateral triangle = sqrt(5)
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Area of the 12 equilateral triangles = 12sqrt(5)
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Cheers
Stan H.
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