18 A student has 273 matchsticks with which to make a pattern of nested triangles. Fig. 18.9 shows the first three triangles. Fig. 18.9 If all the matchsticks are used, how many matchsticks will each side of the biggest triangle contain?
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The first triangle has 3 matchsticks, the second triangle has 9 matchsticks, and the third triangle has 15 matchsticks. Each new triangle adds an additional layer of matchsticks around the previous triangle. Show more…
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