Answer:
48
Step-by-step explanation:
Remark
Use a^2 + b^2 = c^2 to solve for the height.
Givens
c = 10
b = 6
h = ?
Solution
b^2 + h^2 = c^2
6^2 + h^2 = 10^2
36 + h^2 = 100 Subtract 36
h^2 = 100 - 36
h^2 = 64 Take the square root of both sides
sqrt(h^2) = sqrt(64)
h = 8
The height = 8
Area = 1/2 * b * h
Area = 1/2 *12 * 8
Area = 48
Comment
You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12
