Question

A, B, & C are three cities on the straight road such that distance between city A and city B is 75 km & distance between city A & city C is 125 km. Is distance between city c and city B is 50 km which city is between the other two Justify​

Answer 1

Answer:

City B is in between City A and City C

Answer 2

Given : A, B, & C are three cities on the straight road such that distance between city A and city B is 75 km & distance between city A & city C is 125 km

To Find :  Is distance between city c and city B is 50 km

which city is between the other two Justify​

Solution:

Distance between A and B = 75 km

Distance between A and C = 125 km

if A is in between  B and C

Then Distance between B and C = 75 + 125 = 200 km

B  --75 km --- A ---- 125 km  ---- C

if B is between A and C

Then AC = AB + BC

=> 125 = 75 + BC

=> BC = 50 km

A -- 75 km --  B  --- 50 km  --  C

if C is between A and B

then AB = AC + BC    but AC > BC

Hence not possible

So If  distance between city C and city B is 50 km then City B is between A and C

If A is in between B and C then distance between city C and city B is 200 km

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