Answer:
C. 2 square root of 13
Step-by-step explanation:
The area of a right triangle is base times height divided by 2.
In this case, the legs are the base and the height. They gave the ratio as 2 to 3 so by using simple trial and error you can calculate that the legs are 4 and 6 inches long and you can check to make sure that the area matches, and it does!
Now using the Pythagorean theorem a^2 + b^2 = c^2 for right triangles we can find that the length of the hypotenuse, or c, is the square root of 52, by using factorization that will simplify to: 2 square root of 13.
