*see attachment below for the figure being referred
Answer:
k = 5cm
Step-by-step explanation:
==>Given:
∆CBA ~ ∆CED
Side lengths of ∆CBA:
BC = BE + EC = 4.8 + 6 = 10.8 cm
AB = 9cm
Side lengths of ∆CED:
EC = 6cm
ED = k
==>Required:
Value of k
==>Solution:
Since ∆CBA ~ ∆CED, the ratio of their corresponding besides would be the same, with same proportion.
Thus,
AB/ED = BC/EC
9/k = 10.8/6
Cross multiply to find the value of k
9 × 6 = 10.8 × k
54 = 10.8 × k
Divide both sides by 10.8
54/10.8 = k
5 = k
k = 5cm
