Law of Sines Calculator
Enter sides and angles. The calculator finishes AAS, ASA, and SSA, and it says so when two triangles fit the data.
Open the triangle solverHigh school and early college
Law of Sines Calculator and Classroom Math Tools
Mechamath is a small mathematics workshop. You type the numbers from a homework triangle or a quadratic, and the page returns the result with the same steps you would write in a notebook. The site exists so that a student can check a formula without being left with a bare answer.
Three starting tools
Complex Roots Calculator
Enter a, b, and c. When the discriminant is negative, the roots appear as a conjugate pair a + bi.
Open the quadratic solverDomain and Range of Logarithmic Functions
Enter the base and the shifts in y = log_b(x − h) + k. The result is the domain and the range in interval notation.
Open the log domain toolHow to use a Mechamath calculator
Pick the tool that matches the formula you are studying. Type the known sides or coefficients. Leave unknown triangle parts blank. The result box shows the missing values. The steps box repeats the formula with your numbers substituted. You can then compare the arithmetic with your own work. If a triangle is impossible, a side is 0, a log base is 1, or an argument is not positive, the page says so instead of printing a false number.
More tools
Law of Cosines Calculator
The calculator finds a missing side from SAS or a missing angle from three sides.
Quadratic Formula Calculator
The calculator stays on the real line and points to complex roots when Δ is negative.
Triangle Angle Sum Calculator
The calculator returns the missing interior angle from A + B + C = 180°.
Logarithm Calculator
The calculator evaluates log_b(x) or the inverse exponential b^y.
Right Triangle Calculator
The calculator finishes a right triangle from two sides or from one side and an acute angle.
Triangle Area Calculator
The calculator finds the area from SAS with a sine, or from three sides with Heron’s formula.
Frequently asked questions
What is Mechamath for?
The site is a set of classroom calculators with short lessons. It is written for high-school and early-college mathematics: triangles, quadratics, and logarithms.
Does the law of sines calculator handle the ambiguous case?
Yes. When SSA produces two legal triangles, both solutions appear. When the height test shows that no triangle exists, the page reports that instead of a fake angle. The SSA guide explains the test in words.
What does a + bi mean on the complex roots page?
It is rectangular form: a real part plus an imaginary part, with i² = −1. The complex-number guide walks through one quadratic by hand.
Why does a logarithm sometimes refuse my input?
A real logarithm needs a positive argument and a base that is greater than 0 and not equal to 1. Those checks are the same rules as in a textbook. See the domain guide.
Do I need an account?
No. The arithmetic runs in your browser. The pages do not use tracking scripts.
Will these tools finish a computer-algebra homework set?
No. There is no CAS, no graphing canvas, and no step writer for arbitrary expressions. Each page implements one formula.
Which triangle page should I open first?
If one angle is 90°, use the right triangle calculator. If you have AAS or SSA, use the law of sines. SAS and SSS start on the law of cosines. The method guide walks through those cases in order.
Are the answers a replacement for an exam?
No. Use the steps to check your own work. A teacher or an exam board is still the authority for a course.