Answer: The length of the other leg is 20 cm.
Step-by-step explanation: As shown in the attached figure, triangle ABC is a right-angled triangle, where
m∠B = 90°, hypotenuse, AC = 25 cm and shorter leg, AB = 15 cm.
We are to find the length of the other leg, BC.
From Pythagoras theorem, we have
[tex]AC^2=AB^2+BC^2\\\\\Rightarrow BC^2=\sqrt{AC^2-AB^2}\\\\\Rightarrow BC=\sqrt{25^2-15^2}\\\\\Rightarrow BC=\sqrt{625-225}\\\\\Rightarrow BC=\sqrt{400}\\\\\Rightarrow BC=20.[/tex]
Thus, the length of the other leg is 20 cm.
