Question

A sign manufacturer makes yield signs by cutting an equilateral triangle from a square piece of aluminum with the dimensions shown. The height of the yield sign to the nearest tenth is _____ inches. (Enter only the number.)

Answer 1

I will teach you the procedure and make a calculation, based on a hypothetical dimension.

Call x the length of the side.

You will obtaind two equilateral triangles from a square if you cut by the diagonal.

The length of the diagonal is x√2.

If the sign is placed with the diagonal as the base and the vertex up (this is the righ angle), then the heigth is half the diagonal, i.e. (x√2) / 2.

So, if the side of the square is 100 inches, the diagonal is 100√2 and half diagonal is 50√2, which to the nearest tenth is 70,7 in.