If a right triangle has a leg that is 6 ft. Long and the hypotenuse is 12 ft. Long, how long is the other leg? Round to the nearest tenth.
We can use the Pythagorean theorem to solve this problem.
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 legs. Therefore, we can write the equation:
(Length of first leg)^2 + (Length of second leg)^2 = (Length of hypotenuse)^2
Let x be the length of the second leg.
Plugging in the given values, we have:
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144 - 36
x^2 = 108
x = √108
x ≈ 10.4
Therefore, the length of the other leg is approximately 10.4 ft.
To find the length of the other leg of a right triangle when one leg and the hypotenuse are given, we can use the Pythagorean theorem. The Pythagorean theorem 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.
Let's use this theorem to solve the problem:
Let the length of the other leg be x.
According to the Pythagorean theorem:
x^2 + 6^2 = 12^2
x^2 + 36 = 144
x^2 = 144 - 36
x^2 = 108
Now, to find the value of x, we need to take the square root of both sides:
√x^2 = √108
x = √108
x ≈ 10.4
Therefore, the length of the other leg is approximately 10.4 ft (rounded to the nearest tenth).
a trianle and two sides one is 30 and one is 20
Find the unknown side length in the given triangle. Round to the nearest hundredth.
To determine the length of the other leg of the right triangle, we can use the Pythagorean theorem. The Pythagorean theorem 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 two legs.
Let's denote the length of the other leg as x. The given information is that one leg is 6 ft long (let's call it leg A) and the hypotenuse is 12 ft long (let's call it C).
So, we can set up the equation:
A^2 + x^2 = C^2
Plugging in the given values:
6^2 + x^2 = 12^2
Simplifying:
36 + x^2 = 144
To isolate x^2, we subtract 36 from both sides:
x^2 = 144 - 36
x^2 = 108
To solve for x, we take the square root of both sides:
x = √108
Using a calculator, we find that the square root of 108 is approximately 10.39.
Therefore, the length of the other leg is approximately 10.39 ft (rounded to the nearest tenth).