Question

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 5 and 13. How many solutions does this problem have?

Answer 1

Answer:

2 solutions: 12 or $\sqrt{194}$

Step-by-step explanation:

5 cannot be the hypotenuse as it is shorter than 13, which means that the length of the third side is either $\sqrt{13^{2} - 5^{2} }$ (12) or $\sqrt{5^{2}+13^{2} }$ ($\sqrt{194}$).

Answer 2

The answer is 12

So yeah