Answer:
a. 1.2
b. 0.83
c. 17 min
Step-by-step explanation:
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:
14.5
Step-by-step explanation:
The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2
256 - 44.89 = 211.11
The square root of 211.11 rounded to the first decimal place is 14.5
Answer:
x=17
Step-by-step explanation:
3(x+8) = 7+4x
3x+24 = 7+4x
24 = 7+x
17=x
Answer:
180
Step-by-step explanation:
Using the order of operations, we start with the equation in parentheses. This equals 15. Now we multiply 12*15 to get the answer. Doing the math, we get 180.
Good luck!
