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  • 12-09-2020
  • Mathematics
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Use Similar triangles to calculate the height, h cm, of traingle ABE

Use Similar triangles to calculate the height h cm of traingle ABE class=

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sqdancefan
sqdancefan sqdancefan
  • 12-09-2020

Answer:

  24 cm

Step-by-step explanation:

Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.

Then the bottom height (h) ratio to the overall height is ...

  h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36

The height h is 24 cm.

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