ABC Triangle Calculator

MATH CALCULATOR ABC Triangle Calculator Calculate the sides, angles, and area of an ABC triangle with ease.
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What is the ABC Triangle Calculator & How does it work?
An ABC triangle is a triangle with sides labeled as A, B, and C. The Law of Cosines can be used to find any missing side or angle if two sides and the included angle are known. The area can be calculated using Heron’s formula once all three sides are known.
c^2 = a^2 + b^2 – 2ab cos(C)
c = side opposite angle C, a and b are the other two sides, C is the included angle.
Heron’s formula for the area of a triangle with sides A, B, and C is given by:
text{Area} = sqrt{s(s-a)(s-b)(s-c)}
s = semi-perimeter of the triangle, calculated as (a + b + c) / 2.
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Result—
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Frequently Asked Questions
How do I find the length of side C in a triangle?
Use the Law of Cosines: c^2 = a^2 + b^2 – 2ab cos(C).
What is Heron’s formula for calculating the area of a triangle?
The area is given by sqrt(s(s-a)(s-b)(s-c)), where s is the semi-perimeter.
Can I use this calculator to find an angle if I know two sides and the included angle?
Yes, you can rearrange the Law of Cosines formula to solve for the angle.
How do I calculate the semi-perimeter of a triangle?
The semi-perimeter is half the perimeter: s = (a + b + c) / 2.
What if I only know two sides and need to find the third side?
Use the Law of Cosines with the known angle between the two sides.
Is this calculator suitable for right triangles too?
Yes, it can be used for any triangle, including right triangles.
How accurate are the calculations provided by this calculator?
The accuracy depends on the precision of the input values and the mathematical operations performed.

Results are for informational purposes only and do not constitute professional advice.