An equilateral triangle 8cm on each side is divided into smaller equilateral triangles 2cm on each side. What?

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An equilateral triangle 8cm on each side is divided into smaller equilateral triangles 2cm on each side. What?

What is the maximum number of such triangles that can be formed?

2006-09-03 14:01:56 · 4 answers · asked by wolfwood 2 in Science & Mathematics ➔ Mathematics

4 answers

Area varies as the square of length. The smaller triangles have a length 1/4 that of the original. Squaring that, each small triangle has 1/16 the area of the original, so 16 such triangles fit inside the larger one. 16.

2006-09-03 14:04:24 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋

2006-09-07 17:05:07 · answer #2 · answered by Hassan g 2 · 0⤊ 0⤋

2006-09-03 21:04:20 · answer #3 · answered by Jason J 2 · 0⤊ 0⤋

Hi. Trick question. There are two other sizes of subdivided triangles, both equilateral. Some are 2, 4 or 6 cm on each side. "such triangles" does not specify size.

2006-09-03 21:10:35 · answer #4 · answered by Cirric 7 · 0⤊ 0⤋