Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place? - Mathematics

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Sum

Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?

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Solution

Let A be the starting point and B be the ending point of Jiya.


Since ∆ABC is right-angled.

∴ (AB)2 = (AC)2 + (BC)2

⇒ (AB)2 = 62 + 82 

= 36 + 64

= 100

⇒ AB = 10

Thus, Jiya is 10 km away from her starting place.

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Chapter 6: Triangles - Exercise [Page 172]

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NCERT Exemplar Mathematics Class 7
Chapter 6 Triangles
Exercise | Q 113. | Page 172

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