Tje ratio of the sides of a right triangle are 5:12:13. What is the tangent of the larger acute angle of the triangle?

Question

anonymous · Answer

Let me draw it for you, but first understand that given a right triangle, its hypotenuse (the angle opposite the right angle) is always the longest...

|dw:1360509864232:dw|
Where k is some positive constant.

anonymous · Answer

Okay, the larger acute triangle is opposite the larger of the two legs.  So this is the angle in question:
|dw:1360509988585:dw|
Now what's tan A?

anonymous · Answer

12 over 5, then divide, right?

anonymous · Answer

12/5 should probably suffice, unless a decimal answer is called for.

anonymous · Answer

|dw:1360510227792:dw12/5=2.4

anonymous · Answer

Either of those.  You're right :)