in triangle def, dg = 10 cm. what is cg?\n5 cm\n10 cm\n15 cm\n20 cm
in triangle def, dg = 10 cm. what is cg?\n5 cm\n10 cm\n15 cm\n20 cm
Answer
Explanation:
Step1: Recall centroid property
The centroid of a triangle divides each median in a ratio of 2:1. Here, G is the centroid of triangle DEF and DG and CG are parts of a median. The longer part (from vertex to centroid) to the shorter part (from centroid to mid - point of opposite side) has a ratio of 2:1. Let $DG = 2x$ and $CG=x$.
Step2: Solve for x
Given $DG = 10$ cm. Since $DG = 2x$, then $2x=10$. Solving for $x$ gives $x = 5$ cm. And $CG=x$.
Answer:
5 cm