Give l = 30in., w = 20 in., h =18 in. , and x = 36.1 in., find the length of d. Round the answer tp 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 (d) is equal to the sum of the squares of the lengths of the other two sides (l and w).
Using the given values, we have:
l = 30 in.
w = 20 in.
h = 18 in.
Let's first find the length of the hypotenuse (d). Substitute l = 30 in., w = 20 in., and h = 18 in. into the Pythagorean theorem:
d² = l² + w²
d² = 30² + 20²
d² = 900 + 400
d² = 1300
To find d, we need to take the square root of both sides:
d = √1300
d ≈ 36.0555
Rounding to the nearest tenth, the length of d is approximately 36.1 inches.