Question

Which of the following sets of numbers could not represent the three sides of a right triangle?
6, 8, 10,
30, 40, 50
25, 60, 65,
13, 84, 86

Answer 1

Answer:

the forth

Step-by-step explanation:

you know that hipotenusa is the longest side in a rectangle triangle and its formula is H=$\sqrt{l1^2+l2^2}$

for each group of number you apply the formula you will see that 13 and 84 do not have 85 as hipotenusa

Answer 2

Answer:

13, 84, 86

Step-by-step explanation:

Using Pythagorean's Theorem, a^2 + b^2 = c^2, where a and b are two legs and c is the hypotenuse.

6^2 + 8^2 = 10^2.

30^2 + 40^2 = 50^2

25^2 + 60^2 = 65^2

All of these expressions are true, but

13^2 + 84^ ≠ 86^2

Therefore, 13, 84, and 86 cannot be the three sides of a right triangle.