Question

10. You are going to put a decoration on your house in the triangular area above the

front door. You want to place the decoration on the centroid of the triangle. You
measure the distance from point A to point B (see figure).
54 in.
How far down from point A should you place the decoration? Explain.

Answer 1

The decoration will be 36 feet down from point A.

Explanation:

Here AB is the median of the triangle with length = 54 inches.

If the decoration is placed at the centroid of the triangle, then the distance of the centroid below the vertex A will be

=
`(2)/(3) * 54 = 36` feet.

{Since the centroid divides the median in 2 : 1 ratio}

Therefore, the decoration will be 36 feet down from point A. (Answer)