Question

In a right angled abc, right angled at B, if ab= 10 cm and angle c=30 then find lenth of the side bc

Answer 1

$\huge{\mathfrak{\underline{\underline{Answer:-}}}}$

$\huge{\bf{Given :-}}$

$\large{\bf{ AB \:=\:10 \:cm}}$

$\large{\bf{ 30^{\circ} \:at \: C}}$

$\huge{\mathfrak{\underline{\underline{Explanation}}}}$

$\large{\bf{ tan\:30^{\circ} \:=\: {\frac{Perpendicular}{Base}} }}$

$\huge{\bf{Putting \:values}}$

$\large{\bf{ Value \:of \:tan\:30^{\circ}\:=\:{\frac{1}{\sqrt{3}}}}}$

$\large{\bf{{\frac{1}{{\sqrt{3}}}}\:=\: {\frac{10}{BC}}}}$

$\large{\bf{BC\: =\:10 {\sqrt{3}}}}$

$\huge{\bf{ Putting \:value\: of\: {\sqrt{3} \:as \:1.73}}}$

$\large{\bf{ 10 {\times} 1.73}}$

$\large{\bf{BC\:=\:17. 3 cm\:(approx) }}$

$\huge{\boxed{\red{BC \:= \: 17.3\:cm }}}$

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