Study the pattern.
- Find the total number of white and grey triangles in Figure 125.
- Find the percentage of white triangles in Figure 125.
(a)
Total number of triangles.
Figure 1: 1 = 1 x 1
Figure 2: 4 = 2 x 2
Figure 3: 9 = 3 x 3
Figure 4: 16 = 4 x 4
Figure 5: 25 = 5 x 5
Formula:
Total number of triangles = Figure number x figure number
Total number of grey and white triangles for Figure 125
= 125 x 125
= 15625
(b)
Difference in the number of white and grey triangles.
Figure 1: 1 - 0 = 1
Figure 2: 3 - 1 = 2
Figure 3: 6 - 3 = 3
Figure 4: 10 - 6 = 4
Formula:
Difference in the number of white and grey triangles = Figure number
Number of white triangles = 1 u
Number of grey triangles = 1 u + Figure Number
Total number of triangles
= 125 x 125
= 15625
1 u + 1 u + 125 = 15625
2 u = 15625 - 125
2 u = 15500
1 u = 15500 ÷ 2 = 7750
Number of white triangles
= 1 u
= 7750
Percentage of white triangles in Figure 125
=
775015625 x 100%
= 49.6%
Answer(s): (a) 15625; (b) 49.6%