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.
not 36.1
To find the length of d, we need to use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (d in this case) is equal to the sum of the squares of the other two sides.
Using this theorem, we can calculate the length of d as follows:
d^2 = l^2 + w^2 + h^2
d^2 = 30^2 + 20^2 + 18^2
d^2 = 900 + 400 + 324
d^2 = 1624
To find the length of d, we take the square root of 1624:
d = √1624
d ≈ 40.3 inches
So, the length of d is approximately 40.3 inches.