Area of Obtuse Triangle Formula

Triangle Area Formula:

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

Area (square meters):

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1. What is the Area of an Obtuse Triangle Calculator?

Definition: This calculator computes the area of an obtuse triangle using two sides and the included angle.

Purpose: It helps students, engineers, and designers calculate the area of triangles where one angle is greater than 90 degrees.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( a \) — Length of first side (meters)
\( b \) — Length of second side (meters)
\( C \) — Included angle between sides a and b (degrees)
Area — Result in square meters

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

3. Importance of Triangle Area Calculation

Details: Accurate area calculation is essential in geometry, construction, land surveying, and various engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What makes a triangle obtuse?
A: A triangle is obtuse when one of its angles is greater than 90 degrees.

Q2: Does this formula work for all triangles?
A: Yes, this formula works for any triangle where you know two sides and the included angle.

Q3: What if my angle is exactly 90 degrees?
A: The formula still works and simplifies to the basic right triangle area formula (1/2 × base × height).

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, but real-world accuracy depends on your input measurements.

Q5: What units should I use?
A: The calculator uses meters for length and degrees for angles, but any consistent units will work proportionally.