Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem29

Levels 9&10 Video Solutions 2014 problem29

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The problem involves finding the area of a shaded quadrilateral within a triangle ABC and a square AMDE. The triangle has sides AB = 6 cm, AC = 8 cm, and BC = 10 cm, bisected at M. The quadrilateral includes points A, F, D, and E. The plan involves calculating the area of the square by finding the side AM using the law of cosines. The area of the shaded region is determined by subtracting the areas of two triangles (AMF and MNF) from the area of the square, resulting in an area of \(125/8\) cm².