The hypotenuse of a right triangle is √18 units. what are the lengths of the legs of the triangle? how many different answers can you find? sketch a triangle for each answer. explain your strategies. can i have the whole thing how you do it?

Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:

Solving for c (hypotenuse), we get:

Therefore c is the root of the square of the other sides. So by having root18, it's like saying:

Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4



I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D