The grid below shows a pattern of triangles. The first three are shown.
The coordinates of the top vertex of each triangle are given and form a sequence.

a. What are the coordinates of the top vertex of the 20th triangle? Justify your answer.
b. A triangle in the sequence has a top vertex with coordinates of (56, y).
(i) Which triangle has these coordinates? Justify your answer.
(ii) Calculate the value of y.
c. A triangle in the sequence has a top vertex with coordinates of (x, 360).
Calculate the value of x. Justify your answer.

Transcribed Image Text:

10 6 8 7 6 5 4 3 2 1 0 (2,3) 1 (3,6) 2 2 (4,9) PA 3 3 4 LA 5 LO 9 F