A triangle that has 3 acute angles is called an acute triangle.
To find the area of an equilateral triangle, we can use the formula:
\[ \text{Area} = \frac{\sqrt{3}}{4} s^2 \]
where \( s \) is the length of a side of the triangle. In this case, the side length \( s \) is 10 meters.
Plugging in the value:
\[ \text{Area} = \frac{\sqrt{3}}{4} (10)^2 \] \[ \text{Area} = \frac{\sqrt{3}}{4} \times 100 \] \[ \text{Area} = 25\sqrt{3} , \text{m}^2 \]
Now, to simplify or approximate \( 25\sqrt{3} \):
- The approximate value of \( \sqrt{3} \) is about 1.732.
- So, \( 25\sqrt{3} \approx 25 \times 1.732 \approx 43.3 , \text{m}^2 \).
However, none of the specified answers in the question matches this. Upon review, it seems you have provided multiples of 25, which indicates the area will not be rationalized directly to a familiar whole number, but can be expressed based on angle measures.
However, I don't see \( 25\sqrt{3} \) listed among your options.
Given the choices provided, the best conclusion drawn is that the area is closest to either \( 50/3 , \text{m}^2 \) or a similar rational expression. But the exact area is \( 25\sqrt{3} , m^2 \) if we express it exactly.
If you were looking specifically for the computed area in a form, the option not directly listed among the choices could be the reasoning behind not simplifying to a precise option in the given context.
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