Triangle Calculator: Area, Perimeter, & Hypotenuse

Solve various triangle geometry problems. Calculate area, perimeter, and the hypotenuse using the Pythagorean theorem or Heron's formula automatically.

Input Parameters

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Ready to Calculate

Fill in the required parameters on the left and click calculate to see the detailed results and analysis.

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Solving Geometry Problems with the Triangle Calculator

The triangle is one of the most important basic shapes in geometry and architecture. From calculating house roof structures, bridge designs, to maritime navigation, everything involves the mathematical principles of triangles. Our Triangle Calculator is designed to help you find the Area, Perimeter, and Hypotenuse using various available methods.

Various Types of Triangles to Know

While this calculator is general, it is important to understand triangle characteristics:

  • •Right Triangle: Has exactly one 90-degree angle. The Pythagorean Theorem applies here.
  • •Equilateral Triangle: All three sides are the same length and all angles are 60 degrees.
  • •Isosceles Triangle: Has two sides of the same length.
  • •Scalene Triangle: All three sides have different lengths.

    • Key Triangle Calculation Formulas

  • 1Area (Standard): If you know the base (b) and height (h), then the formula is 1/2 x b x h.
  • 2Perimeter: The sum of all three sides (Side A + Side B + Side C).
  • 3Pythagorean Theorem: Specifically for right triangles, to find the hypotenuse (c), use the formula c² = a² + b².
  • 4Heron's Formula: Used to find the area of a scalene triangle if only the lengths of the three sides are known without knowing the height.

    • Practical Uses in Everyday Life

  • •Construction and Building: Builders use triangle principles (especially the 3-4-5 pythagorean triple) to ensure building corners are perfectly square.
  • •Garden Landscaping: Determining the amount of grass needed to cover triangular-shaped land.
  • •Navigation & GPS: Using the principle of triangulation to determine the coordinate position of an object on Earth.

    • How to Use This Calculator

    Select the type of calculation you need from the dropdown menu.

  • •If you want to calculate base area, enter the Base and Height values.
  • •If you want to find the hypotenuse, enter the Side A and Side B values (Pythagoras).
  • •If you only know the lengths of all three sides, choose the Heron method and enter the lengths of Side A, B, and C.
    • The calculator will display the full calculation results along with other details.

    ? Frequently Asked Questions

    Q What is the requirement for three lines to form a triangle?

    According to the Triangle Inequality, the sum of any two sides' lengths must be greater than the length of the third side. If this condition is not met, a triangle cannot be formed.

    Q How to find the triangle height if only the area is known?

    Use the inverse formula: `Height = (2 x Area) / Base`.

    Q What is the Hypotenuse?

    The hypotenuse is the longest side in a right triangle, located directly opposite the right angle (90 degrees).

    Q Can Heron's Formula be used for all triangles?

    Yes, Heron's Formula can be used to find the area of any type of triangle, as long as the lengths of all three sides are known precisely.

    Q What is the difference between area and perimeter?

    Area measures the amount of surface inside the triangle's boundaries (in square units, e.g., cm²), while perimeter measures the total length of the triangle's boundary lines (in units of length, e.g., cm).