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Area of Triangle Formula:
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This formula calculates the area of a triangle when you know the lengths of two sides (B and C) and the measure of the included angle (A). It provides an efficient way to determine the area without needing the height of the triangle.
The calculator uses the formula:
Where:
Explanation: The formula multiplies half the product of sides B and C by the sine of the included angle A to calculate the area.
Details: Calculating triangle area is fundamental in geometry, engineering, architecture, and various scientific applications. This specific formula is particularly useful when the height of the triangle is unknown or difficult to measure.
Tips: Enter the lengths of sides B and C in meters, and the measure of angle A in degrees. All values must be positive (sides > 0, angle between 0-180 degrees).
Q1: Why use this formula instead of base × height/2?
A: This formula is useful when the height of the triangle is unknown or difficult to measure directly, but you know two sides and the included angle.
Q2: What units should I use for the inputs?
A: Sides should be in meters and angle in degrees. The calculator will automatically convert the angle to radians for the sine function.
Q3: Can this formula be used for any type of triangle?
A: Yes, this formula works for all types of triangles (acute, obtuse, right) as long as you have two sides and the included angle.
Q4: What is the range of valid angle values?
A: The angle must be between 0 and 180 degrees. Angles of 0 or 180 degrees would result in a degenerate triangle with zero area.
Q5: How accurate is this calculation?
A: The accuracy depends on the precision of your input measurements. The calculator provides results with up to 4 decimal places for precision.