Question

In right ∆ABC, teh lengths of its legs are given as a = 6 cm and b = 4.5 cm. Find the length of its hypotenuse.

Answer 1

Suppose the length of the hypotenuse is c cm.
Then, by Pythagoras theorem:
$$\begin{gathered} a^2+b^2=c^2 \\ \Rightarrow c^2=6^2+4.5^2 \\ \Rightarrow c^2=36+20.25 \\ \Rightarrow c^2=56.25 \\ \Rightarrow c=\sqrt{56.25} \\ \Rightarrow c=7.5 \end{gathered}$$

Hence, the length of its hypotenuse is 7.5 cm.