The sides of triangle CAB are in the ratio of \(2:3:6\). Segment AD is the angle bisector drawn to the shortest side, dividing it into segments BD and DC. What is the length, in inches, of the longer subsegment of side BC if the length of side BC is 10 inches? Express your answer as a common fraction.

Guest Feb 15, 2022

#1**+7 **

The segment across from point A, where point D lies on is the shortest side, and is side BC. Thus, if side BC is 10, the other two sides are 15 and 30.

But I think there might be a typo, because than this triangle would be degenerate using the triangle inequalities...

Guest please repost your question, because a triangle CAN'T have side ratio of 2:3:6. Please double check your post and make sure...

Thank you Guest!

proyaop Feb 16, 2022