Question

What's the area of the figure. (Show work please. Will give brainilest answer. Ty)

Answer 1

Answer:

To find the area of the triangle shown in the picture, we need to find the height and the base.

The length of the height should be:

cos45° = BC/AB

=> BC = AB · cos45° = 24 · cos45° = 12√2 (ft)

From the information provided, we can calculate ∠CAB which is 45°, therefore ΔABC is an isosceles triangle, meaning that BC = AC = 12√2 (ft)

The area of the figure is:

A = bh/2 = (12√2)²/2 = 144 (ft²)