Question

The area of rhombus is equal to the area of triangle whose base and the corresponding altitude are 24.8cm and 16.5cm respectively. If one of the diagonal of the rhombus is 22cm. Find the length of other diagonal?

Answer 1

area of triangle= area of rhombus                                                                                1/2* base * height= product of diagonals /2                                                                204.6=22*x/2                                                                                                               so....on solving this equation                                                                                        x=18.6.....

Answer 2

Ar(Triangle)=Ar(Rhombus)  ,
1/2 * Base * Height = Product of Diagonals / 2 ,       (By Deriving the formulas)
1 / 2 * 24.8 * 16.5  = 22 * x / 2 ,
204.6 = 22 * x / 2 ,
22x = 204.6 * 2 ,
x = 409.2 / 22 , 
x = 18 . 6 . 
Length of diagonal = 18.6 .