an image shows one triangle at the top with the base of 12. and the bottom triangle has a base of 18 and height of 6. the question says "Onix cuts two similar triangles out of cardboard. What is the length in units of the left side of the top triangle?"

1 answer

To find the length of the left side of the top triangle, we need to use the property of similar triangles that states corresponding sides are proportional.

Since the triangles are similar, we can set up a proportion using the base and height of each triangle:

(Length of left side of top triangle) / 12 = 6 / 18

Cross multiplying, we get:

18 * (Length of left side of top triangle) = 6 * 12

18 * (Length of left side of top triangle) = 72

Length of left side of top triangle = 72 / 18

Length of left side of top triangle = 4

Therefore, the length of the left side of the top triangle is 4 units.
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