Grades 9-10 Video Solutions 2013-Level 9&10 Video Solutions 2013 problem5

Level 9&10 Video Solutions 2013 problem5

Video Transcription

Video Summary

Conga needs to choose three points to form a triangle with the smallest area on a square grid. Two triangle options are considered: a red triangle and a yellow triangle. To find the areas, each triangle is compared to its enclosing rectangle. For the red triangle, the enclosing rectangle has an area of six, leading to a triangle area of 1.5. For the yellow triangle, its enclosing rectangle has an area of four, resulting in a triangle area of 0.5. Thus, the smallest possible area for such a triangle is 0.5, as determined by the yellow triangle.

Keywords

triangle

smallest area

square grid

enclosing rectangle

yellow triangle