Answer: The length of side EF is 24 units.
Step-by-step explanation: We are given to find the length of the side EF in the right-angled triangle DEF shown in the figure.
Given, ∠F = 90°, DE = 25 units and DF = 7 units.
Since ΔDEF is a right-angled at ∠F, so using Pythagoras theorem, we have
[tex]Hypotenuse^2=perpendicular^2+base^2\\\\\Rightarrow DE^2=EF^2+DF^2\\\\\Rightarrow EF^2=DE^2-DF^2\\\\\Rightarrow EF^2=25^2-7^2\\\\\Rightarrow EF^2=625-49\\\\\Rightarrow EF^2=576\\\\\Rightarrow EF=24.[/tex]
Thus, the length of side EF is 24 units.
