Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

There are two paths that one can choose to go from Sarah’s house to James house. One way is to take C street, and the other way requires to take A street and then B street. How much shorter is the d - Mathematics

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Sum

There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?

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Solution

Distance between Sarah’s House and James’s House using “C street”.

AC2 = AB2 + BC2

= 22 + 1.52

= 4 + 2.25

= 6.25

AC = `sqrt(6.25)`

AC = 2.5 miles

Distance covered by using “A Street” and “B Street”

= (2 + 1.5) miles

= 3.5 miles

Difference in distance = 3.5 miles – 2.5 miles = 1 mile

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Chapter 4: Geometry - Exercise 4.3 [Page 187]

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