Question

10. The area of a rhombus is 2016 cm² and its sides are each equal to 63 cm. Find its height.

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Answer 1

Answer:

area=1/2xy(x and y are lengths of diagonals)=2016

xy=4032cm^2 - (1)

square root((x/2)^2+(y/2)^2 =65

x^2+y^2=16900cm^2 -(2)

(x+y)^2=x^2+y^2+2xy

from 1 and 2

x+y=158 - (3)

and (x-y)^2=x^2+y^2 -2xy

(x-y)=94cm - (4)

from 3 and 4

x=126

y=32