Grades 11-12 Video Solutions 2021-video 2021 11-12/20

Video Transcription

Video Summary

The problem involves finding the area of triangle PXV formed by three squares placed edge to edge with given areas of 36 and 16 for the first two squares. With side lengths of 6 and 4, coordinates for points are established, and a line equation is derived passing through P, T, and X. Solving for the third square's side, length is determined as 2. Using geometry, the total area of the required triangle PXV is calculated by subtracting smaller areas from a larger trapezoid, resulting in an area of 16. Therefore, the area of triangle PXV is 16.

Keywords

triangle area

squares

geometry

coordinates

trapezoid