Answer:
1) city C to city A
2) city A to city B
3) city B to city C
Step-by-step explanation:
step 1
Find the value of x
Remember that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
substitute the given values and solve for x
(2x-5)°+(x-1)°+(x+2)°=180°
Group terms
4x-4=180
4x=180+4
4x=184
x=46
step 2
Find the measure of each angle
A=(2x-5)°------> A=2(46)-5=87°
B=(x-1)° -------> B=46-1=45°
C=(x+2)° -----> C=46+2=48°
Let
a ------> travel from city B to city C
b -----> travel from city C to city A
c -----> travel from city A to city B
we know that
If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle
so
The greater angle is angle A, the side opposite the greater angle is the side a (travel from city B to city C)
The lesser angle is angle B, the side opposite the greater angle is the side b (travel from city C to city A)
therefore
The lengths of the legs of the trip in order from least to greatest is
1) city C to city A
2) city A to city B
3) city B to city C
