Advertisements
Advertisements
Question
How many Triangles are there in the following figure?
Solution
Every part A, B, C, D, E, F, G, H, I, J, K, L, M, N, O and P are 16 triangles.
Combining two at a time. A and B, B and C, C and D, D and A, J and K, L and M, N and O, P and I are 8 triangles.
Taking the combination of 4, we have I, J, E and A, K, L, F and B, M, N, G and C, P, O, H and D are 4 triangles.
Taking 8 parts together we have QRS, RST, STQ and TRQ are 4 triangles.
Total triangles = 16 + 8 + 4 + 4 = 32 triangles.
APPEARS IN
RELATED QUESTIONS
Using the numbers from 1 to 9
(i) Can you form a magic triangle?
(ii) How many magic triangles can be formed?
(iii) What are the sums of the sides of the magic triangle?
Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.
Put the numbers 1, 2, 3, 4, 5, 6 and 7 in the circles so that each straight line of three numbers add up to the same total.
How many Triangles are there in the following figure?
How many Triangles are there in the following figure?
How many Triangles are there in the following figure?
Count the number of squares in the following figure?
How many Circles are there in the following figure?
Find the minimum number of straight lines used in forming the following figure.
Find the minimum number of straight lines used in forming the following figure.
