Question:
The sides of a triangle are in the ratio 12 : 14 : 25 and its perimeter is 25.5 cm. The largest side of the triangle is
(a) 7 cm
(b) 14 cm
(c) 12.5 cm
(d) 18 cm
Solution:
(c) 12.5 cm
Let the sides of the triangle be 12x cm, 14x cm and 25x cm.
Thus, we have:
Perimeter $=12 x+14 x+25 x$
$\Rightarrow 25.5=51 x$
$\Rightarrow x=\frac{25.5}{51}=0.5$
$\therefore$ Greatest side of the triangle $=25 x=25 \times 0.5=12.5 \mathrm{~cm}$