We are asked to solve for the value of DF in a given right triangle Δ DEF with sides measurements such as FE = 24 unit and DE = 7 unit. Since this is a right triangle, we can apply the Pythagorean theorem in solving the problem and the solution is shown below:
c² = a² + b²
FD² = FE² + DE²
Substitute the given measurements, we have:
DF² = 24² + 7²
DF² = 576 + 49
DF² = 625
DF = √625
DF = 25
The answer is 25 units for the DF measurement.