The length of the other leg can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we know that one leg is 6 ft. long and the hypotenuse is 12 ft. long. Let's call the length of the other leg x.
Using the Pythagorean theorem, we can write the equation:
x^2 + 6^2 = 12^2
Simplifying this equation, we get:
x^2 + 36 = 144
Subtracting 36 from both sides, we have:
x^2 = 108
Taking the square root of both sides, we get:
x = √(108)
Using a calculator, we find that √(108) is approximately 10.39.
Rounding to the nearest tenth, the length of the other leg is approximately 10.4 ft.
If a right triangle has a leg this is 6ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.
__ ft.
1 answer