Question

i have been given the short leg in this 30 - 60 - 90 triangle. how do i find the long leg? divide 4 by 2 multiply 4 by \sqrt{3} multiply 4 by 2 multiply 4 by \sqrt{2}

Explanation:

Step1: Recall 30 - 60 - 90 triangle side ratios

In a 30 - 60 - 90 triangle, if the short leg (opposite 30°) is \(a\), the long leg (opposite 60°) is \(a\sqrt{3}\), and the hypotenuse is \(2a\).

Step2: Apply the ratio

Here, the short leg \(a = 4\). Using the ratio for the long leg (\(a\sqrt{3}\)), we substitute \(a = 4\) to get \(4\sqrt{3}\). This means we multiply 4 by \(\sqrt{3}\).

Answer:

Multiply 4 by \(\sqrt{3}\)