Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.? acute, because 102+122> 152 acute, because 122+152> 102 obtuse, because 102+122> 152 obtuse, because 122+152> 102

(A) acute    

Step-by-step explanation:

We are given three side lengths that are:

m(A)=10 in

m(B)=12 in and

m(C)=15 in

Now, using the law of cosines, we get

Also,

Therefore, ∠C=180-∠A-∠B

∠C=180-41.65-52.89

∠C=85.46°

which is an acute angle, therefore .

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step-by-step explanation: