Asked by LARA

Alan is using matchsticks to make isosceles triangles. Isosceles triangles have at least two sides the same length.How many different single isosceles triangles can he make with 45 matchsticks, using all the matchsticks each time?

The answer is 11, but I can only work out 7, PLEASE HELP!!

1 X 3 M-sticks
1 x 5 '
1 x 6 '
2 x 7 '
2 x 8 '

Answers

Answered by Henry
X = # short sticks.
2X = # Long sticks.

x + 2x = 45
X = 15 Short sticks.
2X = 30 Long sticks.
Therefore, you can make 15 triangles
using 15 short sticks and 30 Long sticks.

If the answer was 11 triangles:
11triangles * 3sticks/triangle = 33 sticks.
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