Answer:
[tex]Longer\ leg = 8[/tex]
Step-by-step explanation:
Given
30-60-90 triangle
[tex]Shorter = \frac{8}{\sqrt 3}[/tex]
Required
The longer leg
The following relationship exists in a 30-60-90 triangle.
[tex]Longer\ leg = \sqrt 3 * Shorter\ Leg[/tex]
This gives:
[tex]Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}[/tex]
[tex]Longer\ leg = 1* \frac{8}{1}[/tex]
[tex]Longer\ leg = 1* 8[/tex]
[tex]Longer\ leg = 8[/tex]
