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

Answer 1

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Answer 2

Hey mate..
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Let , the diagonals of a rhombus be d1 and d2

Where,

d1 = 13cm

d2 = ?

Side of a rhombus , Base = 6.5 cm

Height ( altitude ) of a rhombus = 5cm

We know that,

Area of a parallelogram = Base × Height

A rhombus is also a parallelogram .

Thus,

Area of a rhombus = Base × Height

= ( 6.5 × 5 ) cm^2

= 32.5 cm^2

Also,

We know,

Area of a rhombus = 1/2 × Product of its diagonals

=> 32.5 = 1/2 × d1 × d2

=> 65 = 13 × d2

=> 65 / 13 = d2

=> 5 = d2

Therefore,

Length of the other diagonal = 5cm

Hope it helps !!