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On a Map Drawn to a Scale of 1:25000, a Triangular Plot of Land is Right Angled and the Sides Forming the Right Angle Measure 225cm and 64cm.Find: the Actual Length of the Sides in Km - Mathematics

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Question

On a map drawn to a scale of 1:25000, a triangular plot of land is right angled and the sides forming the right angle measure 225cm and 64cm.Find: The actual length of the sides in km

Sum

Solution

Scale = 1:25000
Let AB = 225cm and BC = 64cm
Actual length of AB -

= `(225 xx 25000)/(100 xx 1000)`km

= `(5625)/(100)`km
= 56.25km
Actual length of BC - 

= `(64 xx 25000)/(100 xx 1000)`km

= `(16)/(100)`km
= 16km.

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Chapter 16: Similarity - Exercise 16.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 16 Similarity
Exercise 16.2 | Q 23.1
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