Triangle Calculator

A triangle is a polygon with 3 sides. Every triangle consists of three sides and angles accordingly. In the case there is a right triangle the side that is opposite to the right angle is called the hypotenuse and the other two sides are the legs.

The Area of a Triangle

If the length of the base (b) and the height of triangle (h) are known the formula is as follows:

Area = ½ bh,

If the length of two sides (x,y) and the angle between them are known the formula is as follows:

Area = ½ xy sin(c) = ½ xz sin(a) = ½ yz sin(b)

The AAS theorem. If you specify two angles A and B and a side a the formula is as follows:

The ASA theorem. If you specify an angle A, a side c, and an angle B the formula is as follows:

The ASS theorem. If there is a triangle with two sides,a the smaller and c the larger, and angle A is known, acute and opposite a, if sin A < a/c , there are just two possible triangles. If sin A = a/c , there is just one possible triangle. If sin A > a/c , there are no possible triangles.

The SAS theorem. If is the base length (a) and is the height (h) are known the formula is as follows:

The SSS theorem. If all three sides and the circumradius (R) are known, the formula is as follows:

Use these calculators to compute area of a triangle.

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