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
