Grades 9-10 Video Solutions 2010-Levels 9&10 Video Solutions 2010 problem18

Levels 9&10 Video Solutions 2010 problem18

Video Transcription

Video Summary

The problem involves finding the area of a shaded green triangle, ABC, within a large equilateral triangle that's divided into 36 smaller equilateral triangles of one square centimeter each. The solution involves calculating the area of the green triangle by determining its parts within three straddling parallelograms. Each parallelogram's area contribution to the triangle is achieved by calculating half of its total area, as dictated by the arrangement with equilateral triangles. The areas contributed by each of the three parallelograms are 2, 3, and 6 square centimeters, respectively, summing up to a total area of 11 square centimeters.

Keywords

shaded triangle

equilateral triangles

parallelograms

area calculation

geometry problem