Answer:
L= 10 units....
Explanation:
EG and FH are diagonals of the rhombus. We know that diagonals meet at 90 degree.
Here EG = 16
FH = 12
Therefore a 90 degree right triangle can be formed with legs of:
16/2 = 8
12/2 = 6
Now apply Pythagorean theorem where hypotenuse is the side of the triangle:
(Length)^2 = (6)^2 + (8)^2
(L)^2 = 36+64
L^2 = 100
Take square root at both sides:
√L^2 = √100
L= 10 units....