Question

the perimeter of rhombus abcd is 20 cm and the diagonals bd and ac are in the ratio 3:4 .find the length of the diagonals of the rhombus.
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Answer 1

Answer:

Step-by-step explanation:

Perimeter=20cm

4a=20

a= 5cm

Ratio of diagonals= 3:4

d1/d2 = 3/4

d1=3d2/4 ----(1)

a^2 = d1^2/4 + d2^2/4

d1^2 + d2^2 = 4a^2

9d^2/16 + d2^2 = 4(5)^2

25d2^2/16=100

Square Rooting Both Sides:

5d2/4=10

so, d2= 8 & d1= 6