1. What is Slope of a Triangle?

The slope of a triangle (or right triangle) represents the ratio of the vertical change (opposite side) to the horizontal change (adjacent side). It's a measure of steepness or incline of the triangle's hypotenuse.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• Opposite — Vertical side length (m)
• Adjacent — Horizontal side length (m)

Explanation: The slope is calculated by dividing the length of the opposite side by the length of the adjacent side in a right-angled triangle.

3. Importance of Slope Calculation

Details: Slope calculations are essential in various fields including construction, engineering, physics, and geography. They help determine angles of elevation, design ramps, and analyze terrain.

4. Using the Calculator

Tips: Enter both opposite and adjacent side lengths in meters. Both values must be positive numbers. The result is dimensionless (ratio).

5. Frequently Asked Questions (FAQ)

Q1: What does a slope of 1 mean?
A: A slope of 1 means the opposite and adjacent sides are equal, creating a 45° angle.

Q2: Can slope be negative?
A: In this calculator, no, since lengths are always positive. In coordinate geometry, negative slopes indicate downward inclination.

Q3: How is slope related to angle?
A: The angle θ can be found using θ = arctan(slope). Slope is the tangent of the angle.

Q4: What's the difference between slope and gradient?
A: They are often used interchangeably, though gradient can sometimes refer to the steepness in percentage (slope × 100%).

Q5: What's the maximum possible slope value?
A: Theoretically unlimited as the opposite side increases relative to the adjacent side, approaching vertical.