a number is decreased by a factor of 6 and when it's increased by 28 the difference is 49 find the least possible number ?
Answers
Step-by-step explanation:
Given that,
The sides of triangle are in the ratio of 1:3:2.
☯ Let the sides be x, 2x and 3x.
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\underline{\boldsymbol{According\: to \:the\: Question :}}AccordingtotheQuestion:
Perimeter of the triangle is 30 cm.
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Therefore,
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\begin{gathered}:\implies\sf x + 2x + 3x = 30 \\\\\\:\implies\sf 6x = 30 \\\\\\:\implies\sf x = \cancel\dfrac{30}{6} \\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 5}}}}}\:\bigstar\end{gathered}:⟹x+2x+3x=30:⟹6x=30:⟹x=630:⟹x=5★
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\underline{\bigstar{\textsf{ \: Sides of \: triangle \: are :}}}★ Sides of triangle are :
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First side, x = 5 cm.
Second side, 2x = 2(5) = 10 cm.
Third side, 3x = 3(5) = 15 cm
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\therefore\:{\underline{\sf{Hence,\: smallest \ side \ of \ the \ \triangle \ is \ {\textsf{\textbf{Option b) 5 cm}}}.}}}∴Hence,smallest side of the △ is Option b) 5 cm.