# 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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