# Mathematics : Math 101

SolutionWe have a house which is constructed out of the polygons X, Y and Z below.X is an isosceles right triangle.Y and Z are different sized rectangles.Y is shorter than Z.From seeing the figuresWe know thatFollowing are the X, Y and Z we need in order to construct this houseX=2Y=1Z=2Because X is an isosceles triangle which is used as floor and roof of the house as shown indiagramY is used as front of the houseAndZ is used as the two corner sides of the house as shown in figureFor second case we haveX has 3 edges, 3vertices.Y & Z has 4edges, 4verticesTotal edges of faces = 2*3 + 1*4 + 2*4 = 18Each edge is shared by two faces, total edges = 18/2 = 9Total vertices of faces = 2*3 + 1*4 + 2*4 = 18Each vertex is shared by three faces, total edges = 18/3 = 6Name: Math 101Description:We have a house which is constructed out of the polygons X, Y and Z below. Fo ...

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