Question 12 Segment CD represents a Bridge being built over a lake. How long would the bridge
be in miles? (1 mi = 5280 ft)

The length of the bridge in miles is 0.25 miles

Step-by-step explanation:

From the figure, we have;

The segment CD extends from the midpoints of two sides of the given triangle. According to the midpoint theorem, the line CD is parallel to the third (other) side of the triangle and the length of CD is equal to half the length of the third side

Therefore, given that the length of the third side parallel to CD is 2640 ft., the length of CD = 2640 ft./2 = 1320 ft.

CD = 1320 ft.

The length of the bridge CD in ft. = 1320 ft.

1 mile = 5280 ft.

Therefore;

Length of the bridge CD = 1320 ft. = 1320 ft. × 1 mile/(5280 ft.) = 0.25 miles

The length of the bridge CD in miles = 0.25 miles.

answer: 45