Question

4. The area of a rhombus is 114 cm? and its one diagonal is 6 cm. Find the other
diagonal.​

Answer 1

Answer:

Area of rhombus = 144 cm squareOne of its diagonal is double the otherlet diagonal 1 (d1) be 'x '(according to the question )One of the diagonal is double than otherSo,diagonal 2(d2) = 2x

Step-by-step explanation:

$area of rhombus =1/2 * d1*d2\\144=1/2*x*2x144=x^{2} \\x=12\\diagonal 1 = x = 12 cmdiagonal 2 = 2x = 2 × 12 = 24 cm$

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Answer 2

Solution:

Diagonal= 6 cm

Area= 114 cm^2

Area of the rhombus = 1/2*product of diagonals.

Let the other diagonal be x.

114= 1/2*6*x

114=3*x

114/3=x

38=x

The other diagonal of rhombus is 38 cm.

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