Answer:
\(2\sqrt{3}\) units is the longer leg
Step-by-step explanation:
Definition: 30 -60 -90
In 30-60-90 triangle,
the length of the hypotenuse is twice the length of the shorter leg; and
the length of the longer leg is \(\sqrt{3}\) times the length of the shorter leg.
As per the statement:
The length of the hypotenuse of 30 -60 -90 triangle is 4
Length of hypotenuse = 4 units
then, by definition we have;
length of shorter leg = 2 units
then;
the length of the longer leg is \(\sqrt{3}\) times the length of the shorter leg.
⇒Length of longer leg = \(2\sqrt{3}\) units
Therefore, the length of longer leg is, \(2\sqrt{3}\) units
