IntMath forum | Plane Analytical Geometry

the length of the longer side of a parallelogram is twice the length of the shorter side and two of the internal angles are 60 degrees. the length of the shorter diagonal is 3 cm. what is the area of the parallelogram?

Relevant page

<a href="/trigonometric-functions/3-values-trigonometric-functions.php">3. Values of Trigonometric Functions</a>

What I've done so far

I haven't done anything yet as I am unable to find the height of the parallelogram.

In the "relevant page" in your question, you'll see a discussion about 30-60 triangle. That should help get you started.

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Plane Analytical Geometry lessons on IntMath

• Plane Analytical Geometry
• 1. Distance Formula
• 1a. Gradient (Slope) of a Line, and Inclination
• 1b. Parallel Lines
• 1c. Perpendicular Lines
• 2. The Straight Line
• Perpendicular Distance from a Point to a Line
• 3. The Circle
• 4. The Parabola
• 4a. Interactive parabola graphs
• 5. The Ellipse
• 5a. Interactive ellipse graphs
• 6. The Hyperbola
• 6a. Interactive hyperbola graphs
• 6b. Conic Sections Summary
• 6c. Conic Sections 3D interactive graph
• 7. Polar Coordinates
• 8. Curves in Polar Coordinates
• Equi-angular Spiral
• Squaring the Circle: rope method with proof

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