If length of both diagonals of rhombus are 60 and 80, then what is the length of side?

Question

KollegeApply · Accepted Answer

50 Explanation: Let ABCD be the rhombus, diagonal AC = 60 and BD = 80. We know that the diagonals of a rhombus are perpendicular bisectors of each other. $\therefore$ Diagonals AC and BD bisect each other at point M. $\therefore$ In ∆AMD, $\angle$M = $90^\circ$, AM = 30, DM = 40 $\therefore$ AM2 + DM2 = AD2 ...[Pythagoras theorem] $\therefore$ (30)2 + (40)2 = AD2 $\therefore$ 900 + 1600 = AD2 $\therefore$ AD2 = 2500 $\therefore$ AD = 50 units

AChoose Your Answer