Triangle DEF is a right triangle. If FE = 24 and DE = 7, find DF

62

168

25

625

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.