Question

The two right-angled triangles below are

Answer 1

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\tt{sin(\Theta) = \cfrac{3}{8}}$

$\qquad \tt \rightarrow \: x = 6\:\: cm$

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$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: \sin( Theta) = \cfrac{Opposite \:\: side}{Hypotenuse}$

$\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8}$

since the Triangles are similar, ratio of their corresponding sides are equal :

$\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} = \dfrac{x}{16}$

$\qquad \tt \rightarrow \:x = 16 \sdot \cfrac{3}{8}$

$\qquad \tt \rightarrow \: x = 2 \sdot3$

$\qquad \tt \rightarrow \: x = 6 \: \: cm$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞