Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24. Given right triangle ABC, what is the value of tan (A) ? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

12/5

Step-by-step explanation:

100% correct

The right option is twelve-fifths

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan (A) = BC/AC

tan (A) = 24/10

tan (A) = 12/5

The right option is therefore twelve-fifths