Answer:
The correct answer is {39, 80, 89}.
Step-by-step explanation:
To find the set that could represent part of the three sides we need to find the set of numbers that would satisfy the Pythagorean theorem, which is a necessary condition for the sides of a right triangle:
We'll use a bit of trial and error here;
Triangle Inequality Theorem:
- a + b > c
- a + c > b
- b + c > a
Side Note:
- a and b are the lengths of the legs (the sides that meet at the right angle)
- c is the length of the hypotenuse (the side opposite the right angle, and the longest side of the triangle)
First Equation:
-> {39,80,89}
89 is the "hypotenuse"
Test 1.
39^2 + 80^2 = 89^2 it can also be 80^2 + 39^2 = 89^2
Calculating their value we get the following;
7921 = 7921.
In our first trial, we've got it, after going through others that's the only correct option!
Learn more at - https://brainly.com/question/30956177
