Question

in triangle ABC angle b =90° angle a = 30° and ab=9 cm then the length of bc is​

Answer 1

Answer:

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Answer 2

$\Large{\underline{\underline{\bold{✯Given:}}}}$

• Angle b = 90° & Angle a = 30°
• Length of ab = 9cm

$\Large{\underline{\underline{\red{\bold{➸To\;Find:}}}}}$

• Length of bc.

$\Large{\underline{\underline{\blue{\bold{✄Solution:}}}}}$

Let's

Length of bc = X cm.

As, $\boxed{\green{\sf{\star\;Tan\theta = \frac{Opp}{Adj}}}}$

$→\;{\sf{ \tan(a) = \frac{bc}{ab} }}$

$→\;{\sf{ \tan(30) = \frac{x}{9}}}$

$→\;{\sf{ \frac{1}{ \sqrt{3} } = \frac{x}{9}}}$

$\boxed{\green{\sf{Tan(30°) = \frac{1}{\sqrt{3}}}}}$

$→\;{\sf{x = \frac{9}{ \sqrt{3} }}}$

$→\;{\bf{x = 3 \sqrt{3}}}$

• Length of bc ☞ $\Large{\red{\bold{3\sqrt{3}cms}}}$

$\boxed{\tt{@MrSovereign}}$

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