In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 meters and b=6 meters, what is c? If necessary, round to the nearest tenth.

c=
meters

6.7 meters

how did u slove this

To solve for the length of the hypotenuse (c) in a right triangle when given the lengths of the legs (a and b), you can use the Pythagorean theorem:

c^2 = a^2 + b^2

Given that a = 3 meters and b = 6 meters, you can substitute these values into the formula:

c^2 = 3^2 + 6^2
c^2 = 9 + 36
c^2 = 45

Next, you can take the square root of both sides to solve for c:

c = √45
c ≈ 6.7 meters

Therefore, the length of the hypotenuse (c) in this right triangle is approximately 6.7 meters.