Question

what is cf?
cf =
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Explanation:

Step1: Use the Hypotenuse - Leg (HL) Congruence Theorem

Since \( \angle FCD=\angle FED = 90^{\circ}\), \( \angle CDF=\angle EDF = 67^{\circ}\), and \(FD = FD\) (common side). By the Angle - Angle - Side (AAS) congruence (because we have two angles and a non - included side equal), \( \triangle FCD\cong\triangle FED\).

Step2: Apply the property of congruent triangles

In congruent triangles \( \triangle FCD\) and \( \triangle FED\), the corresponding sides are equal. Given \(FE = 35\), and \(CF\) and \(FE\) are corresponding sides.

Answer:

\(35\)