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Serhud [2]
3 years ago
5

Find the length of the side of an equilateral triangle whose area is 9√3 cm2

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

s = 6 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is the length of side )

Here A = 9\sqrt{3} , thus

\frac{s^2\sqrt{3} }{4} = 9\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 36\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 36 ( take the square root of both sides )

s = \sqrt{36} = 6

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X+y = 4, therefore y = 4-x when you rearrange the equation.
You can subsitute this in: x-(4-x) = 6
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