Home
Back
Formula Used:
| From: | To: |
The Height on Longer Side of Scalene Triangle is the length of the perpendicular from the longer side of the Scalene Triangle to the opposite vertex. It represents the shortest distance between the longer side and the opposite vertex.
The calculator uses the formula:
Where:
Explanation: This formula calculates the height on the longer side using trigonometric relationships between the shorter side and the medium angle of the scalene triangle.
Details: Calculating the height on different sides of a scalene triangle is crucial for determining the triangle's area, understanding its geometric properties, and solving various geometric problems involving triangles.
Tips: Enter the shorter side length in meters and the medium angle in degrees. Both values must be positive, and the angle must be between 0 and 180 degrees.
Q1: What is a scalene triangle?
A: A scalene triangle is a triangle where all three sides have different lengths and all three angles have different measures.
Q2: Why use the shorter side and medium angle to calculate height?
A: This specific combination provides a direct trigonometric relationship that allows calculation of the height on the longer side without needing the actual length of the longer side.
Q3: Can this formula be used for other types of triangles?
A: While the formula works for scalene triangles, it can also be applied to isosceles and equilateral triangles as special cases of scalene triangles.
Q4: What units should be used for input values?
A: The shorter side should be in meters and the angle in degrees. The calculator will output the height in meters.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy of the result depends on the accuracy of the input measurements.