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Geometry · G-SRT

Solve Right Triangles Using Trig

Given enough information (one side and one acute angle, or two sides), find all missing sides and angles using SOH-CAH-TOA and the Pythagorean theorem.

GeometryCommon Core HSG-SRT.C.8G-SRTVerified correct ✓

Worked examples

In a right triangle, angle θ = 30° and the adjacent side = 19. Find the side opposite θ. Round to 4 decimal places.
Answer: 10.9697
In a right triangle, angle θ = 30° and the hypotenuse = 18. Find the side adjacent to θ. Round to 4 decimal places.
Answer: 15.5885

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More Geometry topics

Angle Pairs — Supplementary, Complementary, VerticalInterior Angle Sum of a PolygonCoordinate Rules for TransformationsSide Ratios in Similar FiguresPythagorean Theorem — Find Missing SidesSpecial Right Triangles — 30-60-90 and 45-45-90Trigonometric Ratios — sin, cos, tanCircle — Circumference and Area