Question

choose the best answer:
the area of a right triangle is 12in^2. the ratio of the length of its legs is 2:3. Find the length of the hypotenuse.
a) square root is 13 in
b) 26 inches
c) 2 square root of 13
d) 52 inches
e) 4 square root of 13
​

Answer 1

Answer:

e

Step-by-step explanation:

Answer 2

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.