Math, asked by Anonymous, 6 months ago

Answer it with explanation​

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Answered by Anonymous
20

 \large  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \blue {:  { \underline{ \underline{ \blue{   Answer  }}  }}  } \blue{ : } \\  \\  \\  \red  \large \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: {\rightsquigarrow}{ \green{ \underline{ \boxed{ \tt{ \Large(c)  \: 6 cm}}}}}

 \large  \blue {:  { \underline{ \underline{ \blue{ Step \:  \:  by \:  \:  step \:  \:  explanation}}  }}  } \blue{ : } \\  \\  \\  \red {\hookrightarrow}  \tt \orange{ \:  \:  \large \: Given :}  \\  \\ \tt   \dashrightarrow\angle \: D = 60 \degree \\   \tt\dashrightarrow \: BC = 4 \sqrt{3} \: cm  \\  \tt \dashrightarrow \: DC = 10 \: cm \\  \\  \\  \\     \large\tt\red\hookrightarrow \orange{ \:  \:  \: To \:   \: Find :} \\  \\  \dashrightarrow \tt AP =? \\  \\  \\  \\ \large  \hookrightarrow \tt \orange{ \: Solution : } \\  \\  \dashrightarrow \tt AP  \bot \: CD \\  \\  \tt \:hence,  \:  \: \triangle \:  APD  \:  \: is \:  \:  a \:  \:  right \:  \:  triangle \\  \\  \tt \because \: its \:  \: a \:  \: parellelogram \to \: BC | | AD  \:  \: and \: \:  BC  =  AD \\   \\  \therefore \tt BC  =  AD = 4 \sqrt{3}  \\   \\   \tt \: now \\ \tt  \sin \: 60 \degree \:  =  \frac{AP}{AD}  \\  \\    \tt\dashrightarrow \:  \frac{ \sqrt{3} }{2} \degree \:  =  \frac{AP}{4 \sqrt{3} }  \\  \\  \dashrightarrow \  \large \pink{ \underline{\boxed{ \pink{ \tt{ AP =6}}}}} \\  \\  \\  \underline{ \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: } \\  \\  \\  \huge     \: \:   \\  \\     \large\blue {\mathbb{HOPE \:  \:  THIS \:  \:  IS  \:  \: HELPFUL}}

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