an equilateral triangle has a side length of 10 units. what is its area?

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absor201 absor201 · Answer 1 · 2019-05-12T09:32:39+02:00

Answer:

Area of equilateral triangle = 43.3 units^2

Step-by-step explanation:

An equilateral triangle is a triangle in which all three sides of triangle are equal.

So,Length = 10 units

Area of triangle = [tex]\frac{\sqrt{3} }{4}*(side)^2[/tex]

= [tex]\frac{\sqrt{3} }{4}*(10)^2[/tex]

= [tex]\frac{\sqrt{3} }{4}*(100)[/tex]

= [tex]43.3units^2[/tex]

So, Area of equilateral triangle = 43.3 units^2.

mixter17 mixter17 · Answer 2 · 2019-05-12T09:34:05+02:00

The answer is:

The area of the triangle is equal to [tex]A=43.30units^{2}[/tex]

To calculate the area of an equilateral triangle, we need to use the following formula:

[tex]A=\frac{s^{2} *\sqrt{3}}{4}[/tex]

Now, we are given an equilateral triangle, so we know that all of its sides are equal to 10 units.

So, calculating the area we have:

[tex]A=\frac{s^{2} *\sqrt{3} }{4}\\\\A=\frac{(10units)^{2} *\sqrt{3} }{4}\\\\A=\frac{100units^{2} *\sqrt{3} }{4}=43.30units^{2}[/tex]

Have a nice day!