Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth.
(1 point)
a
in.
wrong
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (d) is equal to the sum of the squares of the lengths of the other two sides (l + w).
We are given l = 30 in. and w = 20 in., so we can substitute these values into the formula:
d^2 = l^2 + w^2
d^2 = 30^2 + 20^2
d^2 = 900 + 400
d^2 = 1300
Now, to find d, we need to take the square root of both sides of the equation:
d = sqrt(1300)
Using a calculator, we can find that the square root of 1300 is approximately 36.1 inches.
Therefore, the length of d is approximately 36.1 inches.