Answer:
10 cm
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
All sides are congruent.
The diagonals divide the rhombus into 4 congruent right triangles.
Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then
s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
s = [tex]\sqrt{100}[/tex] = 10
