Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

a) acute, because 102+122> 152
b) acute, because 122+152> 102
c) obtuse, because 102+122> 152
d) obtuse, because 122+152> 102

Answer : Option A) acute, because .

Explanation : The given triangle has three sides which are:

∠A= 10 in; ∠B=12 in and ∠C=15 in

Using the theory for angles and the using the law of Cosines:

cos A =

On solving we get A = 41.65°

Now, cos B =

On solving we get, B = 52.89°

So, we can find C = 180° - 41.65° - 52.89°

Then C = 85.46° 

Therefore the answer is acute, because .

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.