Triangle Generator

A triangle is one of the basic 2D geometrical shapes. A triangle can be determined by 3 different points or the combination of necessary sides or internal angles to build the triangle. Based on the rules of Congruent triangles, a triangle can be determined by Angle-Angle-Side (AAS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA) and Side-Side-Side (SSS). On this page, you can generate the triangles online by giving the values of these conditions.

Law of cosines

a^2 =c^2 + b^2 - 2cb\cos A

b^2=c^2+a^2-2ca\cos B

c^2=a^2 + b^2 - 2ab\cos C

Law of sines

\dfrac{a}{\sin A } = \dfrac{b}{\sin B } = \dfrac{c}{\sin C }

SAS Triangle Generator

If two sides of a triangle and their included angle are given, which is known as SAS (side-angle-side), you can use the Law of cosines to solve for the third side and use the Law of sines to solve for the other angles.

AAS Triangle Generator

If two angles of a triangle and their adjacent side are given, which is known as AAS (angle-angle-side), you can use the Law of sines to solve for the other sides.

ASA Triangle Generator

If two angles and the included side are given, which is known as ASA (angle-side-angle), you can use the Law of sines to solve for the other sides.

SSS Triangle Generator

If three sides of a triangle are given, which is known as SSS (side-side-side), you can use the Law of cosines to solve for the angles.

P1		AB
P2		BC
P3		AC
Show Value?
Yes No

P1		∠BAC
P2		∠ABC
P3		AC
Direction
LT LB RT RB
Show Value?
Yes No

P1		∠BAC
P2		AB
P3		∠ABC
Direction
LT LB RT RB
Show Value?
Yes No