In triangle, P, Q, R△PQR, VV is the intersection of the three medians. If P, T, equals, 18PT=18, find V, TVT.

Answer 1

First, let's find the length of the median from vertex P to side QR.

Since this is an equilateral triangle, all medians are equal in length. Therefore, the median from P to QR is also 18 units.

Now, since V is the intersection of the three medians, it divides each median into a ratio of 2:1. Therefore, TV is 2/3 of PT, which is equal to 12 units.

Since TV is 12 units and VT divides the median into a 2:1 ratio, the length of VT is 8 units.

Therefore, VT = 8 units.