The sides of triangular in the rqtio 6:7:8 and 420m. find its area.
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The sides of triangular in the rqtio 6:7:8 and 420m. find its area.
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Answer:
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Step-by-step explanation:
Answer:
Let the unknown number be x.
According to question,
\begin{gathered} \dashrightarrow \sf \frac{5}{12} \div x = \frac{ - 35}{18} \\ \\ \end{gathered}
⇢
12
5
÷x=
18
−35
\begin{gathered} \dashrightarrow \sf \frac{5}{12} \times \frac{1}{x} = \frac{ - 35}{18} \\ \\ \end{gathered}
⇢
12
5
×
x
1
=
18
−35
\begin{gathered}\dashrightarrow \sf \frac{5}{12x}= \frac{ - 35}{18} \\ \\ \end{gathered}
⇢
12x
5
=
18
−35
By Cross Multiplication :
\begin{gathered}\dashrightarrow \sf12x \times ( - 35) = 5\times 18 \\ \\ \end{gathered}
⇢12x×(−35)=5×18
\begin{gathered}\dashrightarrow \sf - 420x = 90 \\ \\ \end{gathered}
⇢−420x=90
\begin{gathered}\dashrightarrow \sf x = \frac{ \cancel{90}}{ - \cancel{ 420}} \\ \\ \end{gathered}
⇢x=
−
420
90
\dashrightarrow \underline{ \boxed{ \pink{ \tt x = \frac{ - 3}{14} }}}⇢
x=
14
−3
Hence, Option (d)-3/14 is correct.