town a is 60 km from town b and 61 km from town a road connected towns b and c directly find the length of the road
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town a is 60 km from town b and 61 km from town a road connected towns b and c directly find the length of the road
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Answer:1 km
Step-by-step explanation:
Let the road that connects towns B and C be x.
Applying Pythagoras theorem, we get
h = 61, b = x and p = 60
p2 + b2 = h2
602 + x2 = 612
3600 + x2 = 3721 (subtract 3600 from both sides)
x2 = 121
x2 = 112
Thus, x = 11
Length of the road that connects towns B and C is 11 km.