There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=
4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=
12.67 cmThe theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.
Answer: 4/1
Step-by-step explanation:
4/1 because even tho it is an improper fraction when you put the number as a whole it is 4
Answer: 
Step-by-step explanation:
Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.
1. In the first part of the trip the amount of gasoline the car used can be expressed as:

2. After the first part of the trip, the remaining was:
3. In the second part of the trip the car used
of the remaining. This is:

4. The total amount ot gasoline used in this trip was 20 liters.
5. Then, with this information, you can write the following equation:

6. Finally, you must solve for "x" in order to find its value. This is:
The square root of 147 when rounded to the nearest tenth is about 12.1