# 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.

More Calculators