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Geometry/Area of Parallelogram

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Question
Hi, I don't know how to solve it, what formula I should use
Parallelogram diagonals 20cm and 30cm length, and it's longer side 23 cm. I need to find the area.

Answer
Hi Victoria,

The diagonals of a parallelogram bisect each other.  Draw the diagonals so as to subdivide the parallelogram into four triangles.  Applying the laws of cosines and sines within these triangles, you can determine all the side measures.  Finally, you can use Hero's formula to get the areas of the triangle, and add them.

Thanks for asking,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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