What is the length of the hypotenuse? If necessary, round to the nearest tenth.

c= miles

c, 12mi, 9mi

what's the steps?

1 answer

To find the length of the hypotenuse (c), you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the lengths of the other two sides are given as 12mi and 9mi.

So, the equation is:
c^2 = 12^2 + 9^2
c^2 = 144 + 81
c^2 = 225

To find the length of the hypotenuse, take the square root of both sides:
c = √225
c = 15

Therefore, the length of the hypotenuse is 15 miles.