Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

The problem involves finding the ratio of the perimeter of pentagon ABCDE to triangle ABC. Triangle ABC is equilateral with sides of length 2x. The remaining triangles are identical isosceles triangles, contributing to the total perimeter. Calculations determine that sides AE and CD are 5/2x each, while DE is x. Thus, the perimeter of ABCDE is x + 5x + 4x = 10x. The perimeter of triangle ABC is 6x. Therefore, the ratio of the pentagon's perimeter to triangle ABC's perimeter is 10x/6x, simplifying to 5/3. The answer is 5/3.

Keywords

perimeter ratio

pentagon ABCDE

triangle ABC

equilateral triangle

isosceles triangles