Math, asked by sonamdhera9487, 1 year ago

a placard is in the shape of a rhombus , whose side are 13 cm each and one of the diagonal is 24 cm . find the cost of painting both the side of the Pacard at the rate of rupees 5.50 per CM square.

Answers

Answered by kiranpranay12pbdiik
7
The diagonals of rhombus bisect each other at right angle.

Let ABCD is a rhombus with diagonals AC and BD which intersect each other at O.
AC = 10 cm , OA =1/2×AC=
OA= (½) × 10= 5 cm
OA= 5 cm


AB = 13 cm (given)

In ∆ AOB
By Pythagorean theorem
AB²= 0B²+ OA²
13² = OB² + 5²
169 = OB² + 25

OB²= 169 – 25
OB² =144
OB= √144

OB= 12 cm
Diagonal BD = 2 x 12= 24 cm

Hence, the length of other Diagonal = 24 cm

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