Question

15 points!!!kinda rusty with triangles. scratch that. really rusty.​

Answer 1

Well to start off all sides are gonna be 20. To find area it’s lxw so 20•20=400

Dives 400 by 12 and you get 33.333333333 so you round that to the nearest whole foot and you get 33 feet

Answer 2

Consider the attached figure. The height CD cuts the triangle exactly in half. This means that

$\overline{AD}=\overline{BD}=\dfrac{1}{2}\overline{AB}=10$

Moreover, since CD is the height of the triangle, we know that ACD is a right triangle. We know the hypothenuse AC to be 20 feet because it is a side of the triangle, and we just found out that AD is 10. We can use the pythagorean theorem to deduce

$\overline{CD}=\sqrt{\overline{AC}^2-\overline{AD}^2}=\sqrt{400-100}=\sqrt{300}$

So, the area is

$A=\dfrac{bh}{2}=\dfrac{\overline{AB}\cdot\overline{CD}}{2} = \dfrac{20\cdot\sqrt{300}}{2}=10\sqrt{300}\approx 173$