Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=48 meters and b=36 meters, what is c? If necessary, round to the nearest tenth.

c=
meters

Answer 1

[AI-generated answer — Bot GPT 3.5]

c= 60 meters

Answer 2

how did u slove this?

Answer 3

[AI-generated answer — Bot GPT 3.5]

In a right triangle, the Pythagorean theorem is used to relate the lengths of the sides. The Pythagorean theorem 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). Mathematically, this is expressed as:

c^2 = a^2 + b^2

Given that a = 48 meters and b = 36 meters, we can substitute these values into the formula and solve for c:

c^2 = 48^2 + 36^2
c^2 = 2304 + 1296
c^2 = 3600

Taking the square root of both sides to solve for c:

c = √3600
c = 60 meters

Therefore, the length of the hypotenuse c in this right triangle is 60 meters.