Puja’s house is to the west of Ram’s house at a distance of 8 metres in the same row facing north. If Neeta’s house is in the south-east direction of Puja’s house at a distance of 17 metres and in the same column with Ram’s house, then what will be the distance of Neeta’s house from Ram’s house?
Answers
Given :- Puja’s house is to the west of Ram’s house at a distance of 8 metres in the same row facing north. If Neeta’s house is in the south-east direction of Puja’s house at a distance of 17 metres and in the same column with Ram’s house .
To Find :- what will be the distance of Neeta’s house from Ram’s house ?
Solution :-
from image first taking Position of Ram house, then, Puja's house is to the west of Ram’s house at a distance of 8 metres in the same row facing north .
Now, Neeta’s house is in the south-east direction of Puja’s house at a distance of 17 metres and in the same column with Ram’s house .
Placing all three houses Position we get,
in ∆ABC,
→ ∠ABC = 90°
→ BC = 8 m .
→ CA = 17 m .
So, by Pythagoras theorem we get,
→ AB² + BC² = CA²
→ AB² = CA² - BC²
→ AB² = 17² - 8²
→ AB² = 289 - 64
→ AB² = 225
→ AB² = 15²
→ AB = 15 m. (Ans.)
Hence, the distance of Neeta’s house from Ram’s house is 15m.
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