Answer:
= 150 square units
Explanation:
Area of a right triangle is given by the formula;
1/2 bh ; where b is base and h is the height of the triangle
using Pythagoras theorem, we can find the height;
h² = 20² - 16²
h = √144
= 12 units
The base of the small triangle can also be found using Pythagoras theorem;
b² = 15² - 12²
b = √ 81
= 9
Therefore;
Area = 1/2 bh
= 1/2 × 12 × (16+9)
= 1/2 × 12 × 25
= 6 × 25
= 150 square units or 150 u²