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Question
Zach has 6 matchsticks to make as many triangles as possible. What is the maximum number of triangles he can make?
(All matchsticks are used at once.)
Zach has 6 matchsticks to make as many triangles as possible. What is the maximum number of triangles he can make?
(All matchsticks are used at once.)
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Solution
The correct option is D 16
Arranging the matchsticks, we get:
Now, counting the triangles, we get:
6 smaller triangles
3 larger triangles
6 more triangles
And finally, the outer triangle itself.
Hence, the maximum number of triangles that Zach can form from 6 matchsticks is: 6 + 3 + 6 + 1 = 16
Arranging the matchsticks, we get:
Now, counting the triangles, we get:
6 smaller triangles
3 larger triangles
6 more triangles
And finally, the outer triangle itself.
Hence, the maximum number of triangles that Zach can form from 6 matchsticks is: 6 + 3 + 6 + 1 = 16
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