Answer:
a) h = 6 2/17
b) k = 3 8/17
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.
a)
CD/CA = DE/AB
h/8 = 13/17
h = 8(13/17) = 6 2/17
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b)
EC/BC = DE/AB
(8+k)/15 = 13/17
8 +k = 15(13/17)
k = 11 8/17 -8 = 3 8/17