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.

Answer 1

To find the length of d, we can use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

In this case, the length of d is the hypotenuse of a right triangle with legs l and w.

Using the Pythagorean Theorem, we have:

d^2 = l^2 + w^2

Substituting the given values, we have:

d^2 = 30^2 + 20^2
d^2 = 900 + 400
d^2 = 1300

Taking the square root of both sides, we have:

d = √1300
d ≈ 36.06

Rounding to the nearest tenth, the length of d is approximately 36.1 inches.