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The sides of a triangle are in the ratio ¹/₂ : ¹/₃ : ¹/₄ and its perimeter is 104 cm. The length of the longest side (in cm) is -

126
232
348
452

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Ratio of sides \\ = \frac{1}{2} : \frac{1}{3} : \frac{1}{4} \\ = 6 : 4 : 3. \end{aligned}

$\eqalign{ & {\text{Ratio of sides}} \cr & = \frac{{\text{1}}}{{\text{2}}}:\frac{{\text{1}}}{{\text{3}}}:\frac{{\text{1}}}{{\text{4}}} \cr & = 6:4:3. \cr}$ Let the sides be 6x, 4x and 3x
Then,
⇒ 6x + 4x + 3x = 104
or 13x = 104
or x = 8
∴ Longest side = 6x = (6 × 8)m = 48m

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Let the sides be 6x, 4x and 3x
Then,
⇒ 6x + 4x + 3x = 104
or 13x = 104
or x = 8
∴ Longest side = 6x = (6 × 8)m = 48m ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Ratio of sides \\ = \frac{1}{2} : \frac{1}{3} : \frac{1}{4} \\ = 6 : 4 : 3. \end{aligned}

$\eqalign{ & {\text{Ratio of sides}} \cr & = \frac{{\text{1}}}{{\text{2}}}:\frac{{\text{1}}}{{\text{3}}}:\frac{{\text{1}}}{{\text{4}}} \cr & = 6:4:3. \cr}$ Let the sides be 6x, 4x and 3x
Then,
⇒ 6x + 4x + 3x = 104
or 13x = 104
or x = 8
∴ Longest side = 6x = (6 × 8)m = 48m ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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