Question

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

c= kilometers

c, 48km, 64km

what's the steps?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the hypotenuse (c) of a right triangle given the lengths of the other two sides (48km and 64km), 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.

The formula is: c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Substitute the given values into the formula:
c^2 = 48^2 + 64^2
c^2 = 2304 + 4096
c^2 = 6400

Now, find the square root of both sides to solve for c:
c = √6400
c = 80

Therefore, the length of the hypotenuse is 80 kilometers.