Geometry Foundational

Special Right Triangles — 30-60-90 & 45-45-90

Choose a triangle type and which side is known. The calculator finds all other sides using the exact ratio, showing both the exact surd form and decimal approximation.

30-60-90 and 45-45-90 types

Exact values (e.g., 5√3)

Labeled triangle diagram

Inputs

Triangle Type

Ratio: x : x√3 : 2x

Known Side

Value

All Sides

Select a triangle type and enter a side value.

Step-by-Step Solution

Diagram