Problem

a) In E5, find the sides and angles of the triangle with vertices(1, 2, 3. 4, 5), (5, 4, 2...

a) In E5, find the sides and angles of the triangle with vertices

(1, 2, 3. 4, 5), (5, 4, 2, 3, 1), and (2, 2, 2, 2, 2).

b) Prove: In En the sum of the angles of a triangle is π. [Hint: For a triangle with sides b, c in En, construct the triangle with the same sides in the plane E2; why is this possible? Then show, with the aid of the Law of Cosines, that corresponding angles of the two triangles are equal]

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Solutions For Problems in Chapter 1.15