Question

What is the length of the altitude of the equilateral triangle below?41530"473a60* 90° 60"23 25A. 36B. 2C. 48D. 215E. 615F 6

Answer 1

The altitude a of the triangle is one of the cathetus of the right angle, then, using the Pythagorean theorem, we obtain

$\begin{gathered} a=\sqrt[]{(4\sqrt[]{3})^2-(2\sqrt[]{3})^2} \\ a=\sqrt[]{48-12} \\ a=\sqrt[]{36} \\ a=6 \end{gathered}$

Then, the altitude is a=6