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Geometry · G-SRT

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

45-45-90: legs are equal; hypotenuse = leg×√2. 30-60-90: short leg n; long leg n√3; hypotenuse 2n.

GeometryCommon Core HSG-SRT.B.5G-SRTVerified correct ✓

Worked examples

In a 30-60-90 triangle, the short leg (opposite 30°) has length 8. Find the long leg (opposite 60°). Round to 4 decimal places.
Answer: 13.8564
In a 30-60-90 triangle, the short leg (opposite 30°) has length 4. Find the long leg (opposite 60°). Round to 4 decimal places.
Answer: 6.9282

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