What is the area of the figure? make sure to show your work and provide complete geometric explanations.

Step-by-step explanation:

The area of a triangle is:

Where b is the base of the triangle and h is the height

In this case we know the hypotenuse of the triangle and the angle B.

Then we can use the sine of the angle to find the side opposite the angle

By definition we know that

In this case hypotenuse = 24

opposite = b

Then:

Now

adjacent = a = h

Then the area is:

ANSWER

EXPLANATION

We use the sine ratio to find the missing side.

The triangle is a right isosceles triangle.

This implies that,

AC=BC=12√2 ft.

The area of the triangle is:

We substitute the values to get,

5050

hope this !

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b