Area of a Triangle (SAS) Calculator

Your details

Length of the first side adjacent to the included angle.
m
Length of the second side adjacent to the included angle.
m
The angle formed between side a and side b. Must be between 0 and 180 degrees (exclusive).
deg
Area
15.1554

Area of the triangle using the SAS formula: (1/2) × a × b × sin(γ)

Third side (c)6.245
Side a (echo)7
Side b (echo)5
Perimeter18.245
Angle α (opposite a)76.102deg
Angle β (opposite b)43.898deg
Height from a4.3301
Height from b6.0622
Height from c4.8536

Area = 15.1554 m²

  • The triangle is acute and scalene.
  • The three interior angles are 76.10, 43.90, and 60.00 degrees, which sum to 180 degrees.
  • The third side opposite the 60.00-degree angle is 6.2450 m.

Next stepTo find the area of any triangle, you can always pick any two sides and their included angle. If you know all three sides instead, use Heron's formula.

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