Question

What is the length of EF in the right triangle below?

Answer 1

EF=24 because it's a perfect square; 7-24-25. This only works for right triangles

Answer 2

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

`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.`

Thus, the length of side EF is 24 units.