Answer:
A. Yes, because 8^2 + 15^2 = 17^2
Explanation:
In a right triangle, the hypotenuse is always longer than the other two sides.
The longest side in this triangle is 17. If this is a right triangle, then the legs are 8 and 15, and the hypotenuse is 17.
We use Pythagoras theorem
(one leg)^2 + (other leg)^2 = (hypotenuse)^2
8^2 + 15^2 = 17^2
If the equation above is true, then it is a right triangle. If it is not true, then the triangle is not a right triangle.
8^2 = 64
15^2 = 225
8^2 + 15^2 = 64 + 225 = 289
17^2 = 289
From 8^2 + 64^2 = 17^2, we get
289 = 289
Since the equation is true, it is a right triangle.
Answer: A. Yes, because 8^2 + 15^2 = 17^2