Isosceles Triangle Calculator

Use this isosceles triangle calculator to calculate isosceles triangle height, area, or missing sides.

Formula

h = √(a² − (b² / 4)),   A = (b × h) / 2

h = height
A = area
a = equal side
b = base

Popular Isosceles Triangle Examples

Base (b)Side (a)Height (h)Area
454.5830009.166667
653.0000009.000000
8107.74600030.984000
10139.74800048.740000
121511.18000067.080000

How To Calculate Isosceles Triangle Without A Calculator

To manually calculate isosceles triangle height and area:

1. Use h = √(a² − (b² / 4)) to find the height.
2. Use A = (b × h) / 2 to find the area.

About This Isosceles Triangle Calculator

This isosceles triangle calculator instantly computes height and area with six-decimal precision using the isosceles triangle height formula.

Interesting Facts About Isosceles Triangles

• The two equal sides are opposite the equal angles.
• The vertex angle is opposite the base.
• Height, median, and bisector from vertex are equal.
• Isosceles triangles are common in architecture.
• They have a line of symmetry along the height.