There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
Answer:
7
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify
Answer:
No mode
Step-by-step explanation:
- Mode is the value that occurs most often in a set of data values
- If there are no values repeated in a set of data values then there is no mode
Answer:
3 ismthe coefficient of 3m
