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



[tex] \sqrt{x} 3[/tex] times the length of the hypotenuse

[tex] \sqrt{x} 3[/tex] times the length of the shorter leg


[tex] \sqrt{x} 2[/tex] times the length of the hypotenuse


2 times the length of the shorter leg

Respuesta :

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