Right Triangle

Overview

Engineering reference data for Right Triangle in miscellaneous.

Key Formulas

Unit Conversion

$y = x \cdot k$

Multiply by conversion factor.

Linear Interpolation

$y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}$

Estimate between two known points.

Percentage

$p = \frac{\text{part}}{\text{whole}} \times 100\%$

Part as fraction of whole.

Variables

Example Calculation

Here is a practical example using the formulas:

Given a right triangle where:

• Side a = 1.7 m
• Side b = 1 m

1. Calculate the hypotenuse (c):

$$c = \sqrt{a^2 + b^2} = \sqrt{(1.7\, \text{m})^2 + (1\, \text{m})^2} \approx 1.97\, \text{m}$$

2. Calculate the angle $\theta$ opposite side b:

$$\theta = \arctan\left(\frac{b}{a}\right) = \arctan\left(\frac{1\, \text{m}}{1.7\, \text{m}}\right) \approx 30.5^\circ$$

References

• Original Source