Question

The perimeter of rhombus is the same as that of a rectangle with sides 70cm and 60 cm .If the length of one diagonal of rhombhus is 120cm ,find the length of other diagona

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Answer 1

perimeter of rectangle = perimeter of rhombus

2 (l+b)= 4 a

2 (70+60)= 4 a

2×130=4 a

260= 4 a

a= 260/4

a=65

side^2= (d1/2)^2 + (d2/2)^2

65^2= (120/2)^2 + (d2/2)^2

(65)^2 - (60)^2 = (d2/2)^2

4225 - 3600 = (d2/2)^2

625= (d2/2)^2

root 625=d2/2

25=d2/2

d2=25×2

d2=50cm

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