What information about the unknown angle must be added so that it can be accurately determined?

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pawlik1232022-03-09 18:29:11

Mathematics

pawlik123, 2022-03-09 18:29:11

please help me with math
Why is it NOT ENOUGH to know the area and two sides of a triangle to find the angle?
What information about the unknown angle must be added so that it can be accurately determined?

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2 answer(s)

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shurshur, 2022-03-09
@shurshur

Because the area is equal to half the product of the lengths of these sides and the sine of the angle between them, and the angle can be acute or obtuse with the same sine value. For example, if the sides are 1 and the area is 1/4, then the angle can be 30 degrees or 150 degrees.

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AVKor, 2022-03-09
@AVKor

Why is it NOT ENOUGH to know the area and two sides of a triangle to find the angle?

What angle? Between these parties?
If this is not the case of a right angle, then it is not enough, since there are two options with the same data: for acute and obtuse angles, the sum of which is π.