Question

Find the area of a rhombus whose side is 6.5 cm and altitude is 5 cm. If one of its
diagonal is 13 cm long, find the length of other diagonal.
E
7 m
D​

Answer 1

Answer:

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Step-by-step explanation:

For parallelogram

Base (b) = 6.5 cm

Altitude(h) = 5 cm

Ar. of the Parallelogram = b×h

= 6.5 * 5

= 32.5 cm²

For rhombus,

Length of one of the diagonal of the Rhombus (d1) = 13 cm

Let the length of the another diagonal be (d2) cm=?

Area of the Rhombus = Area of the Parallelogram

⇒ d1 × d2/2 = 32.5 cm²

⇒ 13×d2/2 = 32.5

⇒ 13(d2) = 32.5 × 2

⇒ 13(d2) = 65

⇒ d2 = 65/13

⇒ d2 = 5 cm