Question

in rt. ∆ ABC, right angled at B, AB= 5Cm and AcB = 30° . Determine the length of the sides Bc and Ac.​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\sf\pink{\frac{AB}{BC}=tan\:C}$

i.e, $\large\sf\pink{\frac{5}{BC}=tan\:30°=\frac{1}{√3}}$

$\large\sf\purple{which\:gives\:BC=5√3cm}$

$\small\sf\underline{to\:find\:the\:length\:of\:the\:side\:AC,we\:consider,}$

$\large\sf\red{sin\:30°=\frac{AB}{AC}}$

$\large\sf\red{\frac{1}{2}=\frac{5}{AC}}$

$\large{\boxed{\sf{\red{AC=10cm}}}}$

$\small\sf\underline{By\:using\:Pythagoras\:theorem,}$

$\large\sf\orange{AC√{AB}^{2}+{BC}^{2}}$

$\large\sf\orange{√{5}^{2}+( {5 \sqrt{3} )}^{2} cm}$

$\large{\boxed{\sf{\orange{10cm}}}}$