Triangle Slope Calculator

What Is Triangle Slope?

Triangle slope measures how steep a line is using a right triangle drawn on a graph. The slope equals rise divided by run:

$$\text{slope} = \frac{\text{rise}}{\text{run}}$$

How to Find Slope from a Right Triangle

If the vertical leg is $a$ and the horizontal leg is $b$, then $\text{slope} = a/b$. A rising line has positive slope; a falling line has negative slope.

Slope from Angles

For acute angle $\alpha$ at the base: $\text{slope} = \tan(\alpha)$. For the other acute angle $\beta$: $\text{slope} = \cot(\beta)$.

Frequently Asked Questions

What is the slope of a 3:4 rise-to-run triangle?

Slope = 3/4 = 0.75, or 75% grade. The angle is arctan(0.75) ≈ 36.87°.

Can triangle slope be negative?

Yes. A line that falls from left to right has negative slope. Multiply rise/run by −1 for falling lines.

How do I find slope from angle α?

Use slope = tan(α). For example, tan(45°) = 1, so a 45° angle gives a 1:1 slope.

What is the difference between slope and grade percent?

Grade percent equals slope × 100. A slope of 0.25 means a 25% grade.

Report

What Is Triangle Slope?

How to Find Slope from a Right Triangle

Slope from Angles

Frequently Asked Questions

Related Tools

Recent Visits

Finance Calc Kit