Question

if cf = ef = 59 and de = 72, what is cd? cd =

Explanation:

Step1: Recognize congruent - triangles property

Since $CF = EF$ and $\angle DFC=\angle DFE = 90^{\circ}$ and $DF$ is common to both $\triangle DCF$ and $\triangle DEF$, by the Hypotenuse - Leg (HL) congruence criterion for right - triangles, $\triangle DCF\cong\triangle DEF$.

Step2: Use congruent - triangle result

If $\triangle DCF\cong\triangle DEF$, then $CD = DE$.

Answer:

$72$