Question

An environmental group is making signs for an upcoming community recycling day. They want the signs to be equilateral triangles with heights of 35 in. How long, in inches, will each side of the signs be? Round your answer to the nearest tenth of an inch.

Answer 1

40.4 inches

Explanation:

In equilateral triangle with side length a units, the length of the height is
`(a√(3))/(2)` units.

Find the side length.

If the height of the equilateral triangle is 35 in long, then

`(a√(3))/(2)=35,\\ \\a√(3)=2\cdot 35=70,\\ \\a=(70)/(√(3))\approx 40.4\ in.`