Answer:
45
Step-by-step explanation:
There's a couple ways to do this, my method will find the area of the larger triangle and subtract the smaller triangle using only Pythagorean theorem.
Finding the side length adjacent to the 6 will allow us to solve the problem
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = 8
The larger triangle
Base: 8 + 15 = 23
Height: 6
23 * 6 * 0.5 = 69
The smaller triangle
Base: 8
Height: 6
6 * 8 * 0.5 = 24
Final Steps:
69 - 24 = 45
