In this exercise you will use the principle above to determine the centroid of p

Question

In this exercise you will use the principle above to determine the centroid of pentagon which is shaped like a child's drawing of a house. Let A, B, C, D and E be points in the plane such that the quadrilateral ABCD is a square with side length s and such that E lies outside this square and such that AEB is a triangle such that AEB is a right triangle; let P be the pentagon having the above vertices. First determine the centroid of the square and the centroid of the triangle; then use the principle in the previous exercise to determine the centroid of P. (You willl need to choose coordinates for the vertices; try to make choices which simplify your calculations. You should prefer arguments which take advantage of the symmetry to arguments which use brute force calculations.)

Explanation / Answer

he centroid of an area is the coordinates of the geometric center. It is calculated from the area

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.