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?
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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?
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Length of the other diagonal (x) = 18.6 cm
Step-by-step explanation:
Given , base of the triangle = 24.8 cm
height of the triangle = 16.5 cm
one of the diagonals of a triangle measures 22 cm and the other diagonal be x.
area of triangle = area of rhombus
1 /2 . Base. height = product of diagonals/2
(24.8×16.5)/2= (22. x )/2
409.2/2 = 22x/2
x = (204.6 x 2)/22
x=18.6
Length of other diagonal (x) = 18.6 cm
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