Example Question #1 : Derive The Formula A = một nửa Ab Sin(C) For The Area Of A Triangle By Drawing An Auxiliary Line From A Vertex Perpendicular to lớn The Opposite Side
Is the following statement True or False?
We want khổng lồ use the formula
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There are two approaches to this problem. We are able to calculate the angle
So we can mix
Our other option is to lớn use the area formula we have been but altering it to correspond khổng lồ angle
Example Question #2 : Derive The Formula A = một nửa Ab Sin(C) For The Area Of A Triangle By Drawing An Auxiliary Line From A Vertex Perpendicular khổng lồ The Opposite Side
Solve for x using the formula
Even though the formula
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Using the figure above, lớn be able lớn label the sides we are using correctly, we extend the original triangle horizontally past the obtuse angle and draw a vertical line down from the đứng đầu vertex to size a right angle. This vertical line is
This shows that when using this formula for an obtuse angle, you can use either the supplementary angle you made, or the original. It is always helpful lớn draw this supplementary triangle in order to lớn be able to visualize and understand logically how the formula is working for obtuse angles as well.