Grades 11-12 Video Solutions 2023-2023_11-12

Video Transcription

Video Summary

The problem involves finding the perimeter of a hexagon formed by two equilateral triangles with given side lengths. By recognizing that the intersecting equilateral triangles create several smaller equilateral triangles, the solution arises from calculating missing side lengths. Given sides are 6, 15, 11, and 12. Using properties of equilateral triangles and parallel lines, the unknown sides are determined: CP and QP both equal 9, and RQ equals 17. Adding the known and calculated side lengths (6, 15, 11, 12, 9, 17) yields a total perimeter of 70. The correct choice is option D.

Keywords

hexagon perimeter

equilateral triangles

side lengths

geometry problem

perimeter calculation