What is Reverse Hypotenuse and Why Should You Care?
A Reverse Hypotenuse calculation lets you find the unknown side of a right-angled triangle when you know the hypotenuse and one other side. This is useful in construction, navigation, graphic design, and any field that involves geometry.
How to Calculate Reverse Hypotenuse
The standard Pythagorean theorem states:
[\text{Hypotenuse} = \sqrt{\text{Side 1}^{2} + \text{Side 2}^{2}}]
To find an unknown side, rearrange the formula:
[\text{Unknown Side} = \sqrt{\text{Hypotenuse}^{2} - \text{Known Side}^{2}}]
Where:
- Unknown Side is the side you are looking for.
- Hypotenuse is the side opposite the right angle.
- Known Side is the side length you already know.
Calculation Example
Example 1
Given a hypotenuse of 40 and a known side of 15:
[\text{Unknown Side} = \sqrt{40^{2} - 15^{2}} = \sqrt{1600 - 225} = \sqrt{1375} \approx 37.08]
The missing side is approximately 37.08.
Example 2
Given a hypotenuse of 25 and a known side of 7:
[\text{Unknown Side} = \sqrt{25^{2} - 7^{2}} = \sqrt{625 - 49} = \sqrt{576} = 24]
The missing side is exactly 24.