In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=8 miles and b=4 miles, what is c? If necessary, round to the nearest tenth.

c=
miles

3 answers

c = √(8^2 + 4^2) = √(64 + 16) = √80 = 8.9 miles

Therefore, c is approximately 8.9 miles.
how did u slove this
I used the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

So, c^2 = a^2 + b^2

c^2 = 8^2 + 4^2

c^2 = 64 + 16

c^2 = 80

Taking the square root of both sides:

c = √80

c ≈ 8.9

Therefore, the length of the hypotenuse is approximately 8.9 miles.