Answer:
C. 225 m
Step-by-step explanation:
Through observation, you can see the first side of the triangle is 8 and the hypotenuse is 17.
From here, you can use the Pythagorean theorem to find x.
Pythagorean theorem: a² + b² = c²
(with a and b being side lengths, and c being the hypotenuse length)
So, if you plug your values in, you get: x² + 8² = 17²
Next, solve for x:
x² + 8² = 17²
x² + 64 = 289
x² = 225
x = 15
Now that you have x you can solve for the area of the shaded region, which would be base time height, or 15 × 15.
You should get 225 m as your final answer.
