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 .

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.