Question

The sides triangular field 120,160,200find the rate of flooring at rate 25 paise per sqm

Answer 1

Step-by-step explanation:

${(200)}^{2} = 40000 \: ...(1) \\ {(120)}^{2} + {(160)}^{2} = 14400 + 25600 \\ = 40000 \: ...(2) \\ from \: (1) \: and \: (2) \: we \: have \: \\ {(200)}^{2} ={(120)}^{2} + {(160)}^{2} \: \\ hence \: \\ by \: converse \: of \: pythagors \: theorem \\ given \: sides \: make \: a \: right \: triangle \\ length \: of \: perpendicular \: sides \: are \\ \: 120 \: m \: and \: 160 \: m. \\ area \: of \: triangle \: = \frac{1}{2} \times 120 \times 160 \\ = 9600 \: {m}^{2} \\ total \: cost \: of \: flooring \: = 9600 \times \frac{25}{100} \\ = 96 \times 25 = Rs \: 2400$