Question

Erica plotted the three towns closest to her house on a graph with town A

A
at (9, 12), town B
B
at (9, 7) and town C
C
at (1, 1). She drew the triangle joining the 3 points. Which lists the angles formed in size, smallest to largest?

Answer 1

First, determine the distances from the towns.
Town A to Town B: Opposite angle C
d = sqrt ((12 - 7)^2 + (9 - 9)^2)
d = 5
Town B to Town C: Opposite Angle A
d = sqrt ((7 - 1)^2 + (9 - 1)^2)
d = 10
Town A to Town C: Opposite Angle B
d = sqrt (12 - 1)^2 + (9 - 1)^2)
d = 13.6
The angle with largest measure is the one opposite the greatest distance. Thus, the arrangement would be: C, A, B.