Isosceles Triangle Calculator

Isosceles Triangle Calculator

Solve an isosceles triangle from either its equal sides and base or its base and height.

Last updated: June 2026 | By Patchworkr Team

Area
-
Enter valid values for the selected mode
Perimeter
-
Height
-
Base Angles / Vertex Angle
-

Enter a real number.

Formulas

Two Equal Sides
h = √(s^2 - (c/2)^2)
Base + Height
s = √(h^2 + (c/2)^2)

How to Use

Choose the mode that matches the values you have, enter only positive measurements, and let the calculator derive the rest.

  1. Pick the input mode.
  2. Enter the required values.
  3. Read the area, perimeter, and angle values from the result card.

Example

With equal sides 5 and base 6, the area is 12, the perimeter is 16, and the base angles are 36.869898°.

With base 6 and height 4, the equal sides are 5.

Notes

The old calculate-button workflow has been replaced with live validation so the displayed geometry always matches the current inputs.

Impossible base and side combinations are rejected before any square root is evaluated.

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