Question:
Tick (✓) the correct answer:
The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Length of each of the equal sides is
(a) 4 cm
(b) 5 cm
(c) 3 cm
(d) 6 cm
Solution:
(b) 5 cm
Let the equal side of the isosceles triangle be $\mathrm{x}$.
Then, the perimeter of the triangle would be $(x+x+6)$.
$\therefore 2 x+6=16$
$\Rightarrow 2 x=16-6$
$\Rightarrow 2 x=10$
$\Rightarrow x=\frac{10}{2}=5$
$\therefore$ Length of each equal side $=5 \mathrm{~cm}$