given i = 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
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 (which is d in this case) is equal to the sum of the squares of the lengths of the other two sides.
So, we have:
d^2 = w^2 + (i + h - x)^2
Plugging in the given values:
d^2 = (20 in.)^2 + (30 in. + 18 in. - 36.1 in.)^2
d^2 = 400 in.^2 + (12.9 in.)^2
d^2 = 400 in.^2 + 166.41 in.^2
d^2 = 566.41 in.^2
Taking the square root of both sides to solve for d:
d ≈ √566.41 in.
d ≈ 23.8 in.
The length of d is approximately 23.8 inches, rounded to the nearest tenth.