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Rufina [12.5K]
3 years ago
5

What is the area of a 6x6x6 equilateral triangle?

Mathematics
2 answers:
NARA [144]3 years ago
6 0
A 6x6x6 triangle
we cut it into half so consider one half
its 6x3
by Pythagoras theorem, we can find the length of the triangle sqrt (6^2 -3^2) = a
then we can find the area of the triangle by
1/2 x base x height
=
1/2 x 6 x a
maw [93]3 years ago
4 0
216 cubic units bc 6x6=36 and then 36x6=216
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Step-by-step explanation:

The formula for calculating the area of regular hexagon is given as :

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Where a is the length of a side.

Substituting the value given , we have :

50 =  \frac{3\sqrt{3}}{2}a^{2}

50 x 2 = 3\sqrt{3} a^{2}

100 = 3\sqrt{3} a^{2}

Divide through by 3\sqrt{3}

a^{2} = \frac{100}{3\sqrt{3}}

a^{2} = 19.24500897

Take the square root of both sides :

a = \sqrt{19.24500897}

a = 4.3869

To the nearest tenth

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