Find the length of the right triangle's other leg. Round to the nearest tenth. SHOW YOUR WORK.
LEG=9ft
HYPOTENUSE=12ft
Use Pythagorean theorem.
Let x = other leg
9^2 + x^2 = 12^2
Solve for x.
To find the length of the right triangle's other leg, we can use 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 have the length of one leg as 9ft and the length of the hypotenuse as 12ft. Let's denote the length of the other leg as x.
By applying the Pythagorean theorem, we have:
x^2 + 9^2 = 12^2
Now, let's solve for x:
x^2 + 81 = 144
Subtracting 81 from both sides:
x^2 = 63
To find the value of x, we need to take the square root of both sides. However, the problem asks for the length rounded to the nearest tenth, so we will do that as the final step.
√(x^2) = √63
x ≈ 7.9
Therefore, the length of the right triangle's other leg, rounded to the nearest tenth, is approximately 7.9ft.