Question

On a particular day, Raju starts from his house in the morning and walks 3 km towards East to

reach his school. After school, he turns towards North from school and goes 4 km to reach the

market for buying notebooks. Raju’s uncle is admitted at the hospital which is at 6 km from the

market. Raju turns towards East from the market and goes to the hospital to visit his uncle. From

the hospital Raju turns South and travels 4 km to reach his tuition classes. After the classes are

over, Raju goes to his friend’s house for a birthday party. His friend’s house is situated at a

distance of 3 km towards East from his tuition.

Three roads of length 5 km, 6km and 5 km connect Raju’s home to the market, school to tuition

and hospital to his friend’s home.

QUESTIONS :

[Q01].Trace Raju’s route using the story given and identify the figure enclosed by Raju’s

home, Market, Hospital and his friend’s home.

[Q02].How many triangles are there? Are they congruent? Justify.

[Q03].Identify the closed figure enclosed by School, Tution, Hospital and Market.​

Answer 1

Answer:

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Answer 2

Answer:

(i) The shape enclosed between the home of Raju, Market, Hospital and his friend's home is found to be a Trapezium with the pair of parallel lines formed between the Hospital and Market and the second pair being Raju's home and his friend's home.

(ii) There are two triangles formed in the given situation as there are only two diagonally intersecting roads and both of them are congruent with each other by SSS congruency theorem as the corresponding road lengths concerned are equal.

(iii) The shape enclosed between the concerned locations is found to be a Rectangle as the pair of opposite roads is having equal lengths of 4 and 6 kilometres.

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