The diagonal brace of a shipping crate is 53 inches. The length of the shipping crate is 45 inches. Find the height of the shipping crate.
please help!
Try using the Pythagorean thereom. The diaqonal brace is the hypotensuse of a right triangle.
To find the height of the shipping crate, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we can consider the shipping crate as a right triangle, with the diagonal brace as the hypotenuse and the length and height of the crate as the other two sides.
Let's denote the height of the shipping crate as 'h'. We have the following information:
- Diagonal brace (hypotenuse): 53 inches
- Length of the shipping crate: 45 inches
Applying the Pythagorean theorem, we can set up the following equation:
45^2 + h^2 = 53^2
Simplifying the equation:
2025 + h^2 = 2809
Subtracting 2025 from both sides:
h^2 = 2809 - 2025
h^2 = 784
Taking the square root of both sides:
h = √784
h = 28
Therefore, the height of the shipping crate is 28 inches.