jasonbilger
jasonbilger jasonbilger
  • 06-11-2020
  • Mathematics
contestada

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

These two triangles are similar What are a and b Note the two figures are not drawn to scale Please help with this class=

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sqdancefan
sqdancefan sqdancefan
  • 06-11-2020

9514 1404 393

Answer:

  • a = 6
  • b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

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