On a problem regarding the n-sectors of a triangle - Bart De Bruyn Let Delta be a triangle with vertices A, B, C and angles alpha, beta, gamma. The n-1 lines through A which, together with the lines AB and AC, divide the angle alpha in n >= 2 equal parts are called the n-sectors of Delta. In this paper we determine all triangles with the property that all three edges and all 3(n-1) n-sectors have rational lengths. We show that such triangles exist only if n = 2, 3. ✪ ✪ ✪ ✪ ✪ Link tải tài liệu: LINK TẢI TÀI LIỆU Theo LTTK Education
