Grades 7-8 Video Solutions 2024-2024_7-8

Video Transcription

Video Summary

The problem involves finding the difference in areas between two shaded triangles, A and B, within a square with a side length of 10 meters. By understanding that a triangle’s area is half the base times height, we can express larger triangle formations within the square. Both the red triangle (A + C) and the blue triangle (B + C) cover half of the square's area because they both share the square’s complete base and height. Therefore, A + C equals B + C. Subtracting common components shows A equals B, resulting in A - B equaling 0. Hence, the value of A minus B is 0 square meters.

Keywords

triangle area

square geometry

shaded triangles

area difference

mathematical proof