What is the height of an equilateral triangle with the side lengths of 8 inches?

Equilateral triangle means that all sides are equal in length. When it is asked for a height of equilateral triangle it refers to vertical distance from highest point of the triangle to the lowest(Right in the middle). So we got two known and one unknown which tells us that we can use Pythagorean Theorem C2=A2 + B2

A=4

B=?

C=8

Solve for B and you will get answer Square root of 48.