Answer:
11 inches, 60 inches, 61 inches
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the legs of the triangle, 'a' and 'b'—squared—must equal the hypotenuse, squared.
**Hypotenuse: the longest side of a triangle.**
[tex]a^{2} + b^{2} = c^2[/tex]
This sounds a bit complicated, so allow me to explain this to you.
11 and 60: legs of the triangle.
61: hypotenuse
If I were to plug in the numbers into the formula, it would look like this:
[tex]11^2 + 60^2 = 61^2[/tex]
This is the same as:
[tex]11 * 11 + 60 * 60 = 61 * 61[/tex]
[tex]121 + 3600 = 3721[/tex]
If the legs of the triangle, 121 and 3600, have a sum of the hypotenuse, 3721, then these side lengths can form a right triangle.
The other answer choices, however, do not follow the Pythagorean Theorem.
