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Question
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in a city, broadway, main street, and water street all intersect to form a triangle. broadway is 2000 m from main street to water street, main street is 1600 m from broadway to water street, and water street is 1200 m from main street to broadway.
complete the statement below.
in the triangle formed by the three streets, the greatest angle is the one formed by the intersection of. the smallest angle is the one formed by the intersection of
Step1: Recall the triangle side - angle relationship
In a triangle, the larger side is opposite the larger angle.
Let \(a = 2000\) (Broadway), \(b=1600\) (Main Street), \(c = 1200\) (Water Street)
Step2: Identify the largest and smallest sides
The largest side is \(a = 2000\) (Broadway). The side opposite the angle formed by Water Street and Main Street is Broadway.
The smallest side is \(c=1200\) (Water Street). The side opposite the angle formed by Broadway and Main Street is Water Street.
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The greatest angle is the one formed by the intersection of Water Street and Main Street. The smallest angle is the one formed by the intersection of Broadway and Main Street.