Find the area of each triangle and then add them together.
Bottom Triangle
A = [tex]\frac{1}{2}[/tex]b * h
= [tex]\frac{1}{2}[/tex](160)(120)
= 80(120)
= 9600 m²
Top Triangle
First we need to find the side length. We can calculate the length of the hypotenuse using Pythagorean Theorem for the bottom triangle.
a² + b² = c²
120² + 160² = c²
14400 + 25600 = c²
40000 = c²
200 = c
Now we can use Pythagorean Theorem on the top triangle to find the missing side length.
a² + b² = c²
100² + b² = 200²
10000 + b² = 40000
b² = 30000
b ≈ 173
A = [tex]\frac{1}{2}[/tex]b * h
= [tex]\frac{1}{2}[/tex](100)(173)
= 50(173)
= 8650 m²
Top Triangle + Bottom Triangle = Total Area
8650 + 9600
18250
Answer: Area = 18,250 m²
