CBSE Class 10 Answered
for going to city B from cityA, there is a route via city C such that AC is perpandicular to CB,AC=2x and CB=2(x+7)km. it is proposed to construct a 26km highway which directly connects the two cities A and B. find how much distance will be saved in reaching cityB from cityA after the construction of the highway
Asked by amrithasai123 | 25 Feb, 2019, 07:33: AM
Expert Answer
Figure shows the existing route from A to B which are sides of right angle.
Since the direct route AC is 26 km, we have (2x)2 + [ 2(x+7) ]2 = 262 .................(1)
Eqn.(1) is simplified as x2 +7x - 60 = 0
By factorising LHS, we have, (x+12)(x-5) = 0 or x = 5
distance of existing route = 2x+2(x+7) = 10+24 = 34 km
Hence 34-26 = 8 km is saved after constructing the highway connecting directly A and B
Answered by Thiyagarajan K | 25 Feb, 2019, 08:54: AM
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