Question

The length of one sides of a right triangle is 4.5 cm and the length of its hypotenuse is 7.5 cm. Find the length of its third side.

Answer 1

Suppose the length of the other side is a cm.

Then, by Pythagoras theorem:

$$\begin{gathered} 4.5^2+a^2=7.5^2 \\ \Rightarrow a^2=56.25-20.25 \\ \Rightarrow a^2=36 \\ \Rightarrow a^{}=\sqrt{36} \\ \Rightarrow a^{}=6 \end{gathered}$$

Hence, the length of the other side of the triangle is 6 cm.