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

c= miles

c, 34mi, 12mi

what's the steps?

1 answer

To find the length of the hypotenuse (c) of a right triangle, you can use the Pythagorean theorem, which states that a^2 + b^2 = c^2, where a and b are the lengths of the other two sides of the triangle. In this case, a = 34 miles and b = 12 miles.

Step 1: Square the lengths of the two shorter sides:
34^2 = 1156
12^2 = 144

Step 2: Add the two results together:
1156 + 144 = 1300

Step 3: Take the square root of the result to find the length of the hypotenuse:
√1300 ≈ 36 miles

Therefore, the length of the hypotenuse is approximately 36 miles.