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Find the points where the plane z = 5x - 4y + 3 intersects each of the coordinate axes. Find the lengths of the sides and the angles of the triangle formed by these points. The plane cuts the x-axis where y = 0, z = 0. Therefore, 5x + 3 = 0, or x = -3/5 The plane cuts the y-axis where x y = 0, z = 0. Therefore, -4y + 3 = 0, or y = ¾ (0, ¾, 0) (-3/5, 0, 0) O 2 The lengths of the sides of the triangle are: 3/5, 3/4, and Angle adjacent to the side of length 3/5 = tan 1 x 2 3 3 0.9605 5 4 3/ 4 5 tan 1 51.34 0 3/ 5 4 Angle adjacent to the side of length 3/4 = 900- 51.340= 38.660