Math, asked by sukanyasadhukhan123, 1 month ago

Piyali moves 100 m. North from her house, turns right and after going 100 m reached her friend's house. From there they
went to the market which is South - East of her friend's house and East of her own house. Find the distance between
Piyali's house and the market.
a) 100,2 m
b) 173.25 m.
c) 200 m.
d) Cannot be determined

Answers

Answered by Afreenakbar

Answer:

The correct answer is (c) 200 m.

Step-by-step explanation:

We can visualise the movements and apply the Pythagoras theorem to determine the distance between Piyali's home and the market.

In accordance with the information provided, Piyali travels 100 metres north of her home. She then makes a right turn and travels 100 metres to her friend's home.

Let's use the market as point C, Piyali's house as point A, and her friend's house as point B.

She travels 100 metres north from Piyali's residence (point A) to get to point D.

With AB serving as the base and AD serving as the perpendicular side, triangle ABD is now clear to discern as a right-angled triangle. The lengths of AB and AD are each 100 metres long.

The market is located east of Piyali's home (point A) and southeast of her friend's home (point B).

We can extend the line AB to the right and state that it intersects the market at point E because the market is east of Piyali's home.

Triangle ABE now has AE as the base and AB as the perpendicular side, making it a right-angled triangle. The size of AB is 100 metres.

We can extend the line BD to the south, and let's suppose it intersects the market at point F, given that the market lies southeast of the home of Piyali's buddy.

The triangle BDF now has BF as the base and BD as the perpendicular side, making it a right-angled triangle. The lengths of AE and EF are both 100 m.

Using the Pythagoras theorem, we can find the length of AF, which represents the distance between Piyali's house and the market:

AF² = AE² + EF²

AF² = 100² + 100²

AF² = 20000 + 20000

AF² = 40000

AF = √40000

AF = 200 m

Therefore, the distance between Piyali's house and the market is 200 m.

Hence, the correct answer is (c) 200 m.

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