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Saturday, August 20, 2022

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 -

The sides of a triangle are in the ratio 12:13:14 and its perimeter is 104 cm. The length of the longest side (in cm) is -
A26
B32
C48
D52

Correct answer is: 48

Explanation:

Ratio of sides=12:13:14=6:4:3

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

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