Area of an Obtuse Triangle

Triangle Area Formula:

\[ \text{Area} = \frac{1}{2} \times a \times b \times \sin(C) \]

Area (square meters):

Definition: This calculator computes the area of a triangle where one angle is between 90° and 180° using two sides and the included angle.

Purpose: It helps in geometry calculations, construction planning, and land area measurements for triangular plots.

The calculator uses the formula:

\[ \text{Area} = \frac{1}{2} \times a \times b \times \sin(C) \]

Where:

Explanation: The formula calculates area using the product of two sides and the sine of the included angle, divided by two.

Details: Accurate area calculation is essential for material estimation, construction projects, and land surveying.

Tips: Enter the lengths of two sides in meters and the included angle in degrees (must be between 0° and 180°).

Q1: What makes a triangle obtuse?
A: A triangle is obtuse when one of its angles is greater than 90° but less than 180°.

Q2: Does this work for acute triangles too?
A: Yes, the formula works for all triangles as long as you have two sides and the included angle.

Q3: Why use sine of the angle?
A: The sine function properly accounts for the height component perpendicular to the base sides.

Q4: What units should I use?
A: Use consistent units (meters for sides) - the result will be in square meters.

Q5: How precise should my angle measurement be?
A: For best results, measure angles to at least one decimal place for accurate area calculations.