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

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INSURANCE EXAMS (LIC) 2009 click here to view all questions

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

A26

B32

C48

D52

Nithin ? undefined

Correct answer is: 48

Explanation:

\(\eqalign{ & {\text{Ratio of sides}} \cr & = \frac{{\text{1}}}{{\text{2}}}:\frac{{\text{1}}}{{\text{3}}}:\frac{{\text{1}}}{{\text{4}}} \cr & = 6:4:3 \cr} \)

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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Correct answer is: 48 Explanation: \(\eqalign{ & {\text{Ratio of sides}} \cr & = \frac{{\text{1}}}{{\text{2}}}:\frac{{\text{1}}}{{\text{3}}}:\frac{{\text{1}}}{{\text{4}}} \cr & = 6:4:3 \cr} \) 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 Nithin ? answered undefined All Comments

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