Question

The perimeter of triangle is 850 m and its sides are in the ratio 6:7:4. Find the length of its sides.​

Answer 1

Answer:

according to the question sides are in ratio of 6:7:4

then let sides bea=6x b=7x and c=4x

perimeter of triangle = sum of all sides

850= a+b+c

850=6x+7x+4x

850= 17x

x=50m

then side a=6x=300m

b=7x=350m

c=4x=200m

Answer 2

Given: Ratio of sides of the triangle is 6:7:4. & perimeter of triangle is 850 m.

Need to find: Dimensions of triangle?

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❍ Let's consider side as 'x'

Angles of the triangle :-

• 6x
• 7x
• 4x

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As we know that,

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$\begin{gathered}\star\:{\underline{\boxed{\frak{Perimeter_{\:(triangle)} = a + b + c}}}}\\\\\\ \bf{\dag}\:{\underline{\frak{Putting\:given\:values\:in\:formula,}}}\\\\\\ :\implies\sf 850 = 6x + 7x + 4x \\\\\\ :\implies\sf 10x + 7x = 850\\\\\\ :\implies\sf 17x = 850 \\\\\\ :\implies\sf x = \cancel{\dfrac{850}{17}}\\\\\\ :\implies{\underline{\boxed{\frak{\purple{x = 50 }}}}}\:\bigstar\\\\\end{gathered}$

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Therefore,

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Side, x = 50.

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$\therefore\:{\underline{\sf{Hence,\:Dimensions\:of\:triangle\:are \: \bf{300\:m}\:,\bf{350\: m} \: \sf{and}\: \bf{200\:m}\: \sf{respectively}.}}}$