Respuesta :

Answer:

1. the area is 55.4 in^2.

2. I found the area by taking the hypotenuse squared and subtracting it by the given leg squared. And then taking that values square root to find the height. Then multiplying base times height divided by two, and then multiplying by two.

Answer:

1)   55.4

2)  To find the area of the triangle, I first needed to find the height. I used the Pythagorean Theorem to find that the height was 4[tex]\sqrt{3}[/tex] in. Then, I used the formula for the area of the triangle, which is [tex]\frac{1}{2}bh[/tex], to find that the area is [tex]\frac{1}{2} (8)(4\sqrt{3)}[/tex], or [tex]16\sqrt{3}[/tex]. [tex]16\sqrt{3}[/tex] rounded to the nearest tenth is about 55.4 square inches.

Step-by-step explanation:

Hope that helped! :)