Math, asked by zahircaliber, 8 months ago

the area of a rhombus is 200 sq.cm and length of one of its diagonals are is 10 cm . find the length of the other diagonal​

Answers

Answered by laksjamu31
1

AREA of RHOMBUS formula : 1/2 * d1 * d2

where d1 and d2 are the diagnols of the rhombus.

200 = 1/2 * 10* d2

200*2 = 10*d2 (take 1/2 to the other side as it is in multiplication it becomes division)

400 = 10*d2

400/10 = d2 (take 10 to the other side as it is in multiplication it becomes division)

40 = d2

therefore the other diagnol is 40 cm

Answered by MaIeficent
22

Step-by-step explanation:

\mathbf\red{Given:-}

  • Area of rhombus = 200{cm}^{2}
  • Length of diagonal = 10cm

\mathbf\blue{To\:Find:-}

  • The length of the other diagonal

\mathbf\green{Solution:-}

Area = 200 {cm}^{2}

Length of one of the diagonal  d_{1} = 10cm

Length of other diagonal  d_{2}= ?

Area of rhombus = \frac{1}{2}  \times  d_{1} \times  d_{2}

Given, Area = 200 {cm}^{2}

\implies  \frac{1}{2}  \times  d_{1} \times  d_{2} = 200

\implies \frac{1}{2}  \times  10 \times  d_{2} = 200

\implies   5 \times  d_{2} = 200

\implies   d_{2} = \frac{200}{5}

\implies d_{2} = 40\: cm

\tt\purple{Therefore,\:The \: length\:of\: other\: diagonal\: is \: 40cm}

\large\orange{\underline{{\boxed{\textbf{Be\:Brainly}}}}}

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