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azamat
2 years ago
6

I need help for this also​

Mathematics
1 answer:
lubasha [3.4K]2 years ago
5 0

Answer:

  a) h = 6 2/17

  b) k = 3 8/17

Step-by-step explanation:

We can make a list of corresponding sides:

  AB (17 cm) and DE (13 cm)

  BC (15 cm) and EC (8+k cm)

  CA (8 cm) and CD (h cm)

Because the triangles are similar, we know corresponding sides are proportional.

<h3>a)</h3>

  CD/CA = DE/AB

  h/8 = 13/17

  h = 8(13/17) = 6 2/17

__

<h3>b)</h3>

  EC/BC = DE/AB

  (8+k)/15 = 13/17

  8 +k = 15(13/17)

  k = 11 8/17 -8 = 3 8/17

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