Question 1
We are given a number of equilateral triangles with lateral length 1 cm. They come in two colors, yellow and blue. Three blue and one yellow triangles can be arranged to make an equilateral triangle of lateral size 2 cm (see 1st Pattern below). Six blue and three yellow triangles are arranged to form an equilateral triangle of lateral size 3 cm (see 2nd Pattern below).
(a) How many blue triangles and yellow triangles are required in the arrangement with lateral length 6 cm?
(b) If you would like to make a similar arrangement to form an equilateral triangle of lateral size 10 cm, how many blue triangles and yellow triangles are needed?
(c) If you would like to make equilateral triangle of lateral size 20 cm, how many blue triangles and yellow triangles are needed?
(a) How many blue triangles and yellow triangles are required in the arrangement with lateral length 6 cm?
(b) If you would like to make a similar arrangement to form an equilateral triangle of lateral size 10 cm, how many blue triangles and yellow triangles are needed?
(c) If you would like to make equilateral triangle of lateral size 20 cm, how many blue triangles and yellow triangles are needed?