Question

Select the correct answer from each drop-down menu.
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
A. Water Street and Main Street
B. Broadway and Water Street
C. Broadway and Main Street

The smallest angle is the one formed by the intersection of
A. Broadway and Water Street
B. Water Street and Main Street
C. Broadway and Main Street

Answer 1

In a triangle, the greatest angle is opposite the longest side, and the smallest angle is opposite the shortest side. Given the sides:

- Broadway (between Main Street and Water Street) = 2000 m
- Main Street (between Broadway and Water Street) = 1600 m
- Water Street (between Broadway and Main Street) = 1200 m

We can deduce:
- The longest side is Broadway (2000 m).
- The shortest side is Water Street (1200 m).

With this information:

- The greatest angle is opposite the longest side (Broadway), which is formed by the intersection of Main Street and Water Street.
- The smallest angle is opposite the shortest side (Water Street), which is formed by the intersection of Broadway and Main Street.

Thus, the completed statements would be:

In the triangle formed by the three streets, the greatest angle is the one formed by the intersection of
A. Water Street and Main Street

The smallest angle is the one formed by the intersection of
C. Broadway and Main Street