The length of the smaller of the two diagonals of a rhombus is 12 and the length of the larger diagonal is 16. What is the length of a side of the rhombus?

Answer 1

The diagonals are perpendicular bisectors of each other and form 4
congruent rt triangles and each side is
a hyp.

a = 12/2 = 6.

b = 16/2 = 8.

c^2 = a^2 €+ b^2,
c^2 = 6^2 + 8^2,
c^2 = 36 + 64 = 100,
c = 10 = Length of each side.