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Need help solving please

Need help solving please-example-1

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Answer: a=√3 b=√6

Explanation:

We have a right-angled isosceles triangle

Hence, a=√3

According to the sine theorem :


\displaystyle\\(b)/(sin90^0) =(a)/(sin45^0) \\\\(b)/(1) =(√(3) )/((√(2) )/(2) ) \\\\b=(2√(3) )/(√(2) ) \\\\b=(2√(3)(√(2)) )/(√(2) (√(2)) ) \\\\b=(2√(6) )/(2) \\\\b=√(6)

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