Use the image to answer the question.

h
x
d

1
Given = 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 answer

To find the length of d, we can use the Pythagorean theorem which states:

a^2 + b^2 = c^2

In this case, a = w = 20 in., b = h = 18 in., and c = d.

So, we have:

20^2 + 18^2 = d^2
400 + 324 = d^2
724 = d^2
d = sqrt(724)
d ≈ 26.9 in.

Therefore, the length of d is approximately 26.9 in.