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Rajan@2021
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Guru

On map drawn to a scale of 1 : 250000, a triangular plot of land has the following measurements, AB = 3 cm, BC = 4 cm, ∠ABC = 90 ̊. Calculate : (i) The actual length of AB in kms. (ii) The area of plot in sq. kms.

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Sir please give me a detailed solution of this question as I find it little tricky as we have to calculate :

(i) The actual length of AB in kms.

(ii) The area of plot in sq. kms.

We have given a  map drawn to a scale of 1 : 250000, a triangular plot of land has the following measurements, AB = 3 cm, BC = 4 cm, ∠ABC = 90

Book ML Aggarwal(avichal publication)

Class 10, similarity, chapter 13.3, question no 17

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1 Answer

  1. AC=√(3^2+4^2​)

         =5cm

    Actual length of AC=(5×250000​)/(100×10000)=1.25km
    Actual length of AB =(3×250000)/(100×1000)km=0.75km
    Actual length of BC=√(1.25^20.75^2)
         =1km
    Area =1/2×1×0.75
             =0.375 sq.km

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