What is the length of the missing leg? If necessary, round to the nearest tenth.
6.3 yd 3.4yd
To find the length of the missing leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's call the missing leg "x."
According to the Pythagorean theorem:
(6.3)^2 = (3.4)^2 + x^2
Simplifying the equation:
39.69 = 11.56 + x^2
Subtracting 11.56 from both sides:
28.13 = x^2
Taking the square root of both sides:
x ≈ √28.13
Rounding to the nearest tenth:
x ≈ 5.3
Therefore, the length of the missing leg is approximately 5.3 yards.