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ICE Princess25 [194]

2 years ago

6

Avi uses 11 toothpicks to form a row of 5 attached triangles, as shown. Suppose he continues this pattern, using 89 toothpicks i

n all. What is the total number of triangles formed? (sorry the picture wasn't uplodaing)

1 answer:

Pavel [41]2 years ago

8 0

Answer:

44

Step-by-step explanation:

Given that Avi used 11 toothpicks to form a row of 5 attached triangles.

Total number of toothpicks used = 89

Let the total number of triangles formed be represented by x, so that:

11 toothpicks = 5 triangles

It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;

the average number of toothpicks for 1 triangle = $\frac{11}{5}$

= 2.2

The number of toothpicks per triangle = 2.0

Thus,

x = $\frac{89}{2.0}$

= 44.5

x = 44

The total number of triangles formed is 44.

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Step-by-step explanation:

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