• # question_answer 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 is A)  48 cm B)  32 cmC)  26 cm D)  52 cm.

[a] Sides are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$ i.e. $6:4:3$ Let the ratio be x $\therefore$ sides are 6x, 4x and 3x Given that 6x + 4x + 3x + = 104 $\Rightarrow 13x=104$ $\Rightarrow x=8$ $\therefore$ Longest side $=6x=6\times 8=48\,\,cm$