Area Of An Oblique Triangle

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Calculate the area of any triangle using the Side-Angle-Side (SAS) method.

Triangle Parts (SAS)

Side A

Side B

Included Angle (γ) in °

Calculation Results

64.95

Total Area (A)

The area of a triangle that does not necessarily contain a right angle.

Third Side (c)13.23

Perimeter38.23

About this calculator

What is an Oblique Triangle?

An oblique triangle is any triangle that is not a right triangle. It can be acute (all angles less than 90°) or obtuse (one angle greater than 90°). Calculating its area requires either knowing the base and height, all three sides (Heron's Formula), or two sides and the angle between them.

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Pro Tips

The 'Included Angle' is the angle formed specifically by Side A and Side B.
If the angle is 90°, the formula simplifies to the standard (base × height) / 2.
The Law of Cosines can be used to find the third side: c² = a² + b² - 2ab cos(γ).

Fun Facts

"The SAS method is one of the standard ways to prove that two triangles are congruent."
"Surveyors often use oblique triangle calculations to find the area of irregular plots of land."
"In navigation, the triangle formed by your current position, your destination, and a landmark is almost always oblique."

Formula: Area = (1/2) × a × b × sin(γ)