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

## 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=√(1.25^2−0.75^2)

=1km

Area =1/2×1×0.75

=0.375 sq.km