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d is the centroid of △abc. find cd and ce de = 5

Question

d is the centroid of △abc. find cd and ce
de = 5

Explanation:

Step1: Recall centroid property

The centroid divides each median into a ratio of \(2:1\). So \(CD = 2DE\).

Step2: Calculate \(CD\)

Given \(DE = 5\), then \(CD=2\times5 = 10\).

Step3: Calculate \(CE\)

Since \(CE=CD + DE\), substituting values: \(CE=10 + 5=15\).

Answer:

\(CD = 10\) and \(CE = 15\) (corresponding to the first option \(CD = 10\ CE = 15\))