whe3eGJarjulindiho whe3eGJarjulindiho
  • 25-11-2016
  • Mathematics
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Triangle ABC is similar to triangle DEF and has a ratio of similarity of 5:2. If side AB measures 30 mm, how long is side DE?

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 26-11-2016
For similar triangles, we can relate them through ratio and proportion. The ratio of ΔABC to ΔDEF is 5/2. We equate this to the measure of AB to the measure of DE, which is 30/x. Calculate for x to find the length of DE.

5/2 = 30/x
5x = 60
x = 60/5
x = 12 mm

Thus, side DE has a length of 12 mm.
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