KNOWING A TRIANGLE

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Hello hivers and math bugs

This is my first post after introduction.
I got a lot of support from @kittygirl ,admin of Discord server terminal and also from my friend @th4488. Thanks to them.

PROBLEM:

ABC is a triangle and a rectangle BEFG inscribed as shown in the figure below.
It is provided that AE = 4 cm , GC = 9 cm.

img_0.2410576653210773

We need to find out the area of the rectangle BEFG

We can solve it making two algebraic equation which is a conventional method. But I want solve it in a unique way. Yes, I want to solve it using trigonometry.

SOLUTION:

img_0.37507128315292526

I prepared both of the above image using math editor.

Thank you for stopping by.
I hope you liked the solution.
Please feel free to make a comment.

Regards: @meta007



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