Question 1089694
To the nearest tenth what is the altitude of an equilateral triangle whose sides measure 43 centimeters?
<pre>An altitude drawn from a vertex to the 3rd side of an equilateral triangle creates two 30-60-90 SPECIAL triangles. 
In THIS case, each of these 2 special triangles will have as its hypotenuse, 43 cm. With the hypotenuse known, the LONGER LEG (opposite the LARGER of the 2 ACUTE angles, or opposite the 60<sup>o</sup> angle) 
will have a value of: {{{highlight_green(matrix(1,14, Hypotenuse, "*", sqrt(3)/2, "=", 43 * (sqrt(3)/2), "=", "37.23909236,", or, 37.2, "(to", the, nearest, "tenth)", cm))}}}