✓ Effortless Math · Free Tool

Special Right Triangles Calculator

Choose a 45-45-90 or 30-60-90 triangle, tell us which side you know, and get every side in exact radical form and decimals, the angles, a scaled diagram, and full step-by-step working.

45-45-90: 1 : 1 : √2  ·  30-60-90: 1 : √3 : 2
Triangle Known side Length

For 30-60-90, the "leg" choices are short leg (opposite 30°) or long leg (opposite 60°). Enter a positive length.

Results

All sides
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Leg
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Leg
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Hypotenuse
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Angles
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Diagram

Step-by-step (side ratios)