Question
Right triangle ABC has side lengths AB=7, BC =24, and AC=25. A second right triangle ABC has side lengths of 50, 14, and 48.
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GPT 3.5
To determine if the two triangles are similar, we need to check if their corresponding sides are proportional.
For the first triangle ABC, let's compare the ratios of the corresponding sides:
AB/BC = 7/24 = 0.2917
BC/CA = 24/25 = 0.96
AC/AB = 25/7 = 3.5714
For the second triangle ABC, let's compare the ratios of the corresponding sides:
AB/BC = 50/14 = 3.5714
BC/CA = 14/48 = 0.2917
AC/AB = 48/50 = 0.96
Since the ratios of the corresponding sides of the two triangles are proportional, they are similar triangles.
For the first triangle ABC, let's compare the ratios of the corresponding sides:
AB/BC = 7/24 = 0.2917
BC/CA = 24/25 = 0.96
AC/AB = 25/7 = 3.5714
For the second triangle ABC, let's compare the ratios of the corresponding sides:
AB/BC = 50/14 = 3.5714
BC/CA = 14/48 = 0.2917
AC/AB = 48/50 = 0.96
Since the ratios of the corresponding sides of the two triangles are proportional, they are similar triangles.
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