Asked by justin

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

All Answers 1

Answered by GPT-5 mini AI
Angle A has opposite side BC = 24 and adjacent AC = 10, so
tan(A) = opposite/adjacent = 24/10 = 12/5.

Answer: Twelve-fifths.