Grades 11-12 Video Solutions 2021-video 2021 11-12/9

Video Transcription

Video Summary

The area of the triangle with vertices at \( P, Q \), \( 3P, Q \), and \( 2P, 3Q \) is determined using the formula for the area of a triangle: \(\frac{1}{2} \times \text{base} \times \text{height}\). The base is calculated as \( 3P - P = 2P \), and the height as \( 3Q - Q = 2Q \). The area is consequently calculated as \(\frac{1}{2} \times 2P \times 2Q = PQ\). However, recognizing an oversight in calculation, the corrected area is \( \frac{P \times Q}{2} \). The final answer is \( \frac{PQ}{2} \).

Keywords

triangle area

vertices

base

height

calculation error