In a 30° - 60° - 90° triangle, the longer leg is which of the following? √(x) 3 times the length of the hypotenuse √(x) 3 times the length of the shorter leg √(x) 2 times the le…

Question

In a 30° - 60° - 90° triangle, the longer leg is which of the following?


`√(x) 3` times the length of the hypotenuse


`√(x) 3` times the length of the shorter leg



`√(x) 2` times the length of the hypotenuse


2 times the length of the shorter leg

Answer 1

In the triangle...the length of the longer side is tan 60 multiply by the shorter leg. Tan 60 = sq root 3...thus
Longer side = sq root 3 times the length of the shorter leg