Which of the following sets of numbers could represent the three sides of a right triangle?
Answer
{39,80,89}
{30, 40, 49}
Submit Answer
{60,62,87}
{31,60,68}

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

Which of the following sets of numbers could represent the three sides of a right triangle?Answer{39,80,89}{30, 40, 49}Submit Answer{60,62,87}{31,60,68}

Answer :

Triangle Inequality Theorem:

First Equation:

Other Questions

Which of the following sets of numbers could represent the three sides of a right triangle?
Answer
{39,80,89}
{30, 40, 49}
Submit Answer
{60,62,87}
{31,60,68}