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
3 answers
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.
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.