The location of the houses of three friends, Antonio, Benedict and Celine happened to form an equilateral triangle. They meet quite often to catch up with each other; however, none of them want to invite their friends home. To be fair, they decided to meet at a place that is most 'central' to all.
Point to ponder...
- What would you suggest?
- How would you do it if you have their houses marked on a map already?
Note: There is a typo-error in the above diagram, it should be "Benedict"
Assume that each house is 8 km from the two other houses.
(i.e. the length of the equilateral triangle is 8 km).
Taking the scale, 1 cm to represent 1 km, construct the equilateral triangle on a sheet of paper.
On this diagram, construct the relevant "some lines" to help you find the centre meeting point.
Hint: Perpendicular Bisectors, Angle Bisectors
Take a photo of your diagram (make sure it is clearly labelled) and post it in the padlet.
Direct LINK to access the padlet.