Question

solve this guys by using Pythagoras theorem I have doubt so clear me plz​

Answer 1

Step-by-step explanation:

As the Pythagoras theorem,

$hypotenus {}^{2} = opposite \: side {}^{2} + adjacent \: side \: {}^{2} \\ or \: \: \: x {}^{2} = 5 {}^{2} + 5 {}^{2} \\ or \: \: \: x {}^{2} = 25 + 25 \\ or \: \: \: x {}^{2} = 50 \\ or \: \: \: x = \sqrt{50} \\ so \: \: \: x = 7.0711 m$

or, x=5√2 m

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Answer 2

Since, the given figure is a square, it means, AB = BC = CD = DA = 5 m.

In ∆BDC, we get :

x² = 5² + 5² = 25+25 = 50

Therefore, x = √50 = 5√2

Hence, BD = 5√2 metre.