If a right triangle has a leg with length 12 and the hypotenuse is 16 how long is the other leg round to the nearest tenth if necessary
Using the Pythagorean theorem, the length of the other leg can be calculated.
Let the length of the other leg be x.
Using the Pythagorean theorem: (leg1)^2 + (leg2)^2 = (hypotenuse)^2
Substituting the given values:
12^2 + x^2 = 16^2
144 + x^2 = 256
Subtracting 144 from both sides:
x^2 = 256 - 144
x^2 = 112
Taking the square root of both sides:
x = √112
Calculating the square root:
x ≈ 10.6
Therefore, the length of the other leg is approximately 10.6 when rounded to the nearest tenth.