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Answer:
<h2>54m²</h2>Step-by-step explanation:
<h3>METHOD 1:</h3>You can use the Heron's formula:
where
<em>p</em><em> - half of perimeter</em>
<em>a, b, c</em><em> - lengths of sides</em>
We have
Calculate:
Let's check that it is not a right triangle.
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.
We have
Check:
This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.
The formula of an area of a right triangle is:
<em>a, b</em><em> - legs</em>
Substitute: