2024 UPDATED!!! 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

THIS USER ASKED 👇

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

THIS IS THE BEST ANSWER 👇

(A) acute

Step by step explanation:

We are given three side lengths:

m (A) = 10 in

m (B) = 12 in and

m (C) = 15 in

Now, using the law of the feet, we get

$cosA = frac {(12) ^ 2 + (15) ^ 2- (10) ^ 2} {2 (12) (15)}$

$CosA = frac {144 + 225-100} {360}$

$CosA = frac {269} {360}$

$A = 41.65 ^ { circ}$

As well as that, $CosB = frac {(10) ^ 2 + (15) ^ 2- (12) ^ 2} {2 (10) (15)}$

$CosB = frac {181} {300}$

$B = 52.89 ^ { circ}$

Thus, ∠C = 180-∠A-∠B

∠C = 180-41.65-52.89

∠C = 85.46 °

which is a sharp angle, therefore $10 ^ {2} + 12 ^ {2} 15 ^ {2}$ .

Additional menu

THIS USER ASKED 👇

THIS IS THE BEST ANSWER 👇

Reader Interactions

Leave a Reply Cancel reply