1. What is the Side of Rhombus given Height Formula?

The formula calculates the side length of a rhombus when given its height and acute angle. It uses trigonometric relationships to determine the side length based on these parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S \) — Side of Rhombus (m)
• \( h \) — Height of Rhombus (m)
• \( \angle Acute \) — Acute Angle of Rhombus (°)

Explanation: The formula uses the sine trigonometric function to relate the height and acute angle to the side length of the rhombus.

3. Importance of Side Calculation

Details: Calculating the side length of a rhombus is essential in geometry for determining perimeter, area, and other geometric properties of the shape.

4. Using the Calculator

Tips: Enter height in meters and acute angle in degrees. The angle must be between 0° and 90° (exclusive). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a rhombus?
A: A rhombus is a quadrilateral with all four sides of equal length, opposite sides parallel, and opposite angles equal.

Q2: Why use the sine function in this calculation?
A: The sine function relates the height (opposite side) to the hypotenuse (side of rhombus) in the right triangle formed by the height and side.

Q3: What are the units for the inputs and outputs?
A: Height and side length are in meters, while the angle is in degrees. The calculator handles the conversion to radians internally.

Q4: Can this formula be used for obtuse angles?
A: No, this specific formula is designed for acute angles. For obtuse angles, a different trigonometric relationship would be needed.

Q5: What if I have the obtuse angle instead of the acute angle?
A: You can calculate the acute angle by subtracting the obtuse angle from 180° (since adjacent angles in a rhombus are supplementary).