Find the area of a rhombus with diagonals 6 and 8. Find the length of each side.
The answer is 24
because of this formula diagonal * diagonal/2
so 6*8/2 = 24
The diagonals of a rhombus meet at right angles
Side length = sqrt [ (diagonal / 2)^2 + ( diagonal/2)^2 ] =
sqrt [ (6/2)^2 + (8/2)^2 ] =
sqrt [ 3^2 + 4^2 ] =
sqrt [ 9 + 16] =
sqrt [25] = 5
Area = product of diagonals / 2 = 6 * 8 / 2 = 48 / 2 = = 24
