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katrin2010 [14]
3 years ago
8

HELP DUE IN 15 MINS! In ΔABC, AB = 6 in, BC = 11 in, AC = 9 in. In ΔXYZ, XZ = 38.5 in, XY = 31.5 in, and YZ = 21 in.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

<u>Let's verify is the corresponding sides have same ratio:</u>

  • ΔABC, sides: 6, 9, 11
  • ΔXYZ, sides: 21, 31.5, 38.5

<u>Ratios:</u>

  • 6/21 = 2/7  (divide by 3)
  • 9/31.5 = 2/ 7 (divide by 4.5)
  • 11/38.5  = 2/7 (divide by 5.5)

The ratios are same, so the triangles <u>are similar</u>

  • Yes, the sides are all proportional

The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)

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