Answer:
40.4 inches
Step-by-step explanation:
In equilateral triangle with side length a units, the length of the height is [tex]\dfrac{a\sqrt{3}}{2}[/tex] units.
Find the side length.
If the height of the equilateral triangle is 35 in long, then
[tex]\dfrac{a\sqrt{3}}{2}=35,\\ \\a\sqrt{3}=2\cdot 35=70,\\ \\a=\dfrac{70}{\sqrt{3}}\approx 40.4\ in.[/tex]
