Triangle Solver

Enter three values—including one side—to solve and visualize any triangle.

01 / GIVEN VALUES

What do you know?

Enter exactly three values, including at least one side.

Side lengths

aopposite ∠A

units

bopposite ∠B

units

copposite ∠C

units

AND / OR

Angle measures

Aat vertex A

degrees

Bat vertex B

degrees

Cat vertex C

degrees

02 / VISUALIZATION

Waiting for values

△ Your solved triangle will appear here

known values

side minimum

△

complete triangle

THE MATH BEHIND IT

LAW OF SINES FIRST STEP

\(\displaystyle \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\)

LAW OF COSINES FIRST STEP

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

HERON'S FORMULA

\(\displaystyle K=\sqrt{s(s-a)(s-b)(s-c)},\quad s=\frac{a+b+c}{2}\)

AREA WITH TWO SIDES

\(\displaystyle K=\frac{1}{2}ab\sin C\)