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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. ​

Answer»

Step-by-step explanation:Perimeter=20cm4a=20a= 5cmRatio of diagonals= 3:4d1/d2 = 3/4d1=3d2/4 ----(1)a^2 = d1^2/4 + d2^2/4d1^2 + d2^2 = 4a^29d^2/16 + d2^2 = 4(5)^225d2^2/16=100Square Rooting Both Sides:5d2/4=10 so, d2= 8 & d1= 6



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