Question

If area of rhombus with one diagonal 2x is x sq. By 2. What is the length of side of rhombus.

Answer 1

Let ABCD is arhombus in which diagonals AC and BD cut at O , AC=16 cm, AO=AC/2=16/2=8cm.

perimeter=4×side

68 cm=4×x => x=17 cm

AB=BC=CA=AD=x=17 cm.

In right angled triangle AOD:-

(AO)^2+(OD)^2=(AD)^2

(8 cm)^2+(BD/2)^2=(17 cm)^2

(BD/2)^2=289 cm^2–64 cm^2

(BD/2)^2=225 cm^2

BD/2=15 cm

BD=30 cm , Answer.