The two possible answers are 10 sq rt 3 or 30.
2006-12-12 02:56:43 · 3 answers · asked by Ann D 1 in Science & Mathematics ➔ Mathematics
Go with the smaller figure, 10 Sqrt(3)
2006-12-12 03:11:02 · answer #1 · answered by Scythian1950 7 · 0⤊ 0⤋
For a regular triangle, all the side and all the angles being equal, the centroid, the circumcentre and the incentre are all coincident. Hence the inradius = circumradius = 2/3 of the length of the median.
Now, in this case, the side bisected by the median subtends a right angle with the median. Therefore, the length of the median becomes rt3 / 2 * the side of the triangle.
Hence the radius becomes 1/rt3 times the side of the triangle.
Hence the required answer is 1/rt3 * 30 = 10 sq rt 3
2006-12-12 11:14:10 · answer #2 · answered by saudipta c 5 · 0⤊ 0⤋
Erm... I have never heard of a triangle having a radius. Only circles have radius. Correct me if I'm wrong.
2006-12-12 11:04:31 · answer #3 · answered by floozy_niki 6 · 0⤊ 0⤋