A geometry problem by Mohammad Khaza

Geometry Level 1

Find the length of the longest pole that can be placed in a room 5 m 5m long, 4 m 4m broad and 3 m 3m high.

6.9 7.05 5.2 8.65

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1 solution

Mohammad Khaza
Aug 4, 2017

length of longest pole=length of diagonal= ( 5 2 + 4 2 + 3 2 ) \sqrt{(5^2+4^2+3^2)} = 50 = 7.05 √50=7.05

You can try \sqrt{(5^2 + 4^2 + 3^2)}

which appears as ( 5 2 + 4 2 + 3 2 ) \sqrt{(5^2 + 4^2 + 3^2)}

Munem Shahriar - 3 years, 9 months ago

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thank you very much.

Mohammad Khaza - 3 years, 9 months ago

The the most accurate answer is 50 = 5 2 7.07 \sqrt{50}=5\sqrt{2} \approx 7.07 .

A Former Brilliant Member - 3 years, 3 months ago

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yes.you are correct.

Mohammad Khaza - 3 years, 3 months ago

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