Respuesta :

Answer:

Step-by-step explanation:

The area of a triangle is

[tex]A=\frac{1}{2}bh[/tex] and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:

[tex]6^2=4^2+h^2\\36=16+h^2\\20=h^2\\h=2\sqrt{5}[/tex]

That's the height that we will sub into the area formula:

[tex]A=\frac{1}{2}(12)(2\sqrt{5})\\A=12\sqrt{5}\\A=26.8[/tex]

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