If the height as well as the area of a triangle is not given, how can we find the area?
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Answer:
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
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So if you know the three sides, you can calculate an angle using the cosine rule and hence calculate the height. If you know two sides and the included angle you can again calculate the height to one of the known sides.
- There are other formulae, but they are all tantamount to knowing the height.
- *I regard knowing something as meaning you have sufficient information to calculate it.
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