Question

The hypotenuse of a triangle is 2.5 cm. If one of the sides is 1.5 cm, find the length of the other side.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{hypotenuse}\mathrm{be}"\mathrm{c}"\mathrm{and}\mathrm{the}\mathrm{other}\mathrm{two}\mathrm{sides}\mathrm{be}"\mathrm{b}"\mathrm{and}"\mathrm{c}". \\ \mathrm{Using}\mathrm{the}\mathrm{Pythagoras}\mathrm{theorem},\mathrm{we}\mathrm{can}\mathrm{say}\mathrm{that}: \\ {\mathrm{c}}^2={\mathrm{a}}^2+{\mathrm{b}}^2 \\ 2.5^2=1.5^2+{\mathrm{b}}^2 \\ {\mathrm{b}}^2=6.25-2.25=4 \\ \mathrm{b}=2 \\ \mathrm{Hence},\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{other}\mathrm{side}\mathrm{is}2\mathrm{cm}. \end{gathered}$$