Question 57

The sides of a triangle are in the ratio 6 : 4 : 3 and its perimeter is 104 cm. The length of the longest side (in cm)is:

Solution

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Let the lengths of its sides be 6x cm, 4x cm and 3x cm.
Perimeter = 6x+4x+3x = 13x cm
Given, 13x = 104 => x = 8
Then, Longest side = 6x cm = 48 cm.

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