Grades 9-10 Video Solutions 2021-video 2021 9-10/21

Video Transcription

Video Summary

The problem involves finding the ratio of the lengths of an ant's ascending and descending paths on a given triangle diagram. By calculating the angles and analyzing the triangle's properties, it is established that the ascending path involves a 30-60-90 triangle with a hypotenuse expressed as \( \frac{2}{\sqrt{3}}x \), while the descending path forms a 45-45-90 isosceles triangle, leading to a total length of \( 2x \) for the descending path. Simplifying the ratio of these lengths, the final answer is \(\frac{\sqrt{3}}{3}\).

Keywords

triangle diagram

ratio of lengths

30-60-90 triangle

45-45-90 triangle

path calculation