Question

look at this pattern of triangles made with matchsticks and complete the table given below.
How many matchsticks do you think are needed to make
a 6 triangles? matchsticks
b 7 triangles? matchsticks
c 10 triangles? matchsticks
d 20 triangles? matchsticks
e x triangles? matchsticks
Write down the generalised statement for x triangles.
Number of triangles 1,2,3,4,5
Number of matchsticks 1,2,3,4,5
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Answer 1

Step-by-step explanation:

number of match stick required for triangle

2n + 1

where n is number of triangle

for 1 triangle = 2(1) + 1 = 2 + 1 = 3

for 2 triangle = 2(2) + 1 = 4 + 1 = 5

for 6 triangle = 2(6) + 1 = 12 + 1 = 13

for 7 triangle = 2(7) + 1 = 14 + 1 = 15

for 10 triangle = 2(10) + 1 = 20 + 1 = 21

for 20 triangle = 2(20) + 1 = 40 + 1 = 41

for x triangle = 2(x) + 1 = 2x + 1

hope you get your answer

Answer 2

Answer:

6 triangles = 13 matchstick