Triangle Calculator

How to Find Triangle Properties Using our Triangle Calculator

1. Input Your Values - Enter three values, which can be a combination of sides and angles. Ensure they describe a valid triangle, it does not have to be a right triangle.
2. Review the Results - Our calculator processes the inputs and displays all the triangle properties, such as; Triangle type, side lengths, angles, area, perimeter, semiperimeter, height, medians, inradius, and circumradius.
3. Find Your Answer - Look for the triangle property you wanted to calculate in the results

Tips for Accurate Results:

• Make sure you have 3 data values entered into the calcualtor above.
• Ensure the sum of angles does not exceed 180 degrees.
• At least one side must be entered.
• For side inputs, the sum of any two sides should be greater than the third.
• Double-check your inputs for any typographical errors.

How to Calculate Each of These Triangle Properties on Your Own

Triangle Type:

• By Angles: You can classify triangles based on their angles as shown below.
  • Acute Triangle: All angles are less than 90 degrees.
  • Right Triangle: One angle is exactly 90 degrees.
  • Obtuse Triangle: One angle is more than 90 degrees.
• By Sides: You can classify triangles based on their sides as shown below.
  • Equilateral Triangle: All sides are equal.
  • Isosceles Triangle: Two sides are equal.
  • Scalene Triangle: All sides are of different lengths.

Side Lengths & Angles:

• Pythagorean Theorem: Useful for finding the missing side of a right Triangle.

  For missing side use A^2 + B^2 = C^2 with C being the hypotenuse.

• Law of Cosines: Useful for finding a side when two sides and an angle in-between are known, or an angle when all sides are known.
• Law of Sines: Useful when the lengths of two sides and a non-included angle are known, or two angles and any side.

Area:

• Heron's Formula: Use to find area when you know all three sides.
• For Right-Angled Triangles: Area = b*h / 2

Perimeter & Semiperimeter:

• Perimeter: Add up the lengths of all three sides.
• Semiperimeter: Half of the total perimeter, used in various formulas.

Height:

• The height is the perpendicular distance from a vertex to the opposite side.

  Use the area formula and solve for Height = 2*Area/base.

Medians:

• A median connects a vertex to the midpoint of the opposite side.

Inradius & Circumradius:

• Inradius: The radius of the inscribed circle within the triangle.
• Circumradius: The radius of the circumscribed circle around the triangle.

Good luck, and dont forget to bookmark this triangle property calculator to save time when you need quick info on a non right triangle