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

Answer 1

(b) 5 cm

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{equal}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{isosceles}\mathrm{triangle}\mathrm{be}\mathrm{x}. \\ \mathrm{Then},\mathrm{the}\mathrm{perimeter}\mathrm{of}\mathrm{the}\mathrm{triangle}\mathrm{would}\mathrm{be}(x+x+6). \\ \therefore 2x+6=16 \\ \Rightarrow 2x=16-6 \\ \Rightarrow 2x=10 \\ \Rightarrow x=\frac{10}{2}=5 \\ \therefore \mathrm{Length}\mathrm{of}\mathrm{each}\mathrm{equal}\mathrm{side}=5\mathrm{cm} \end{gathered}$$