Find the area. Round to the nearest tenth.

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]