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7. (a) Find the prime factorization of ged(5!, 2880). [2 marks] (b) How many positive divisors does ged(5!, 2880) have? [2 marks]
5. Complete: ged(270028, 27) = (Hint: Use a Lemma proved in class.)
A triangle has coordinates A(0, 0), B(4, 0), and C(2, 2 ). If we use euclidean distance, then this triangle is equilateral.(i) Compute the lengths of the sides of ABC using taxicab distance.(ii) What are the measures of the three angles of this triangle in euclidean geometry?(iii) What are the measures of the three angles of this triangle in taxicab geometry?(iv) Is ABC equilateral in taxicab geometry?(v) Is ABC equiangular in taxicab geometry?(vi) Is ABC isosceles in taxicab geometry?
). If we use euclidean distance, then this triangle is equilateral.
ABC using taxicab distance.
