jssecrett jssecrett
  • 01-08-2021
  • Mathematics
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triangle ABC is similar to triangle XYZ. fine side a

triangle ABC is similar to triangle XYZ fine side a class=

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jimthompson5910 jimthompson5910
  • 01-08-2021

Answer:  a = 15

Explanation:

The jump from 13 to 39 is "times 3" when comparing the diagonal segments. So the jump from 5 to 'a' must also be "times 3" to keep the sides in the same proportion. Therefore, a = 3*5 = 15.

Or we could solve it like so

13/39 = 5/a

13a = 39*5 ... cross multiplying

13a = 195

a = 195/13 .... dividing both sides by 13

a = 15

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