What is the length of AC?
A. 128
B. 136
C. 108
D. 144
![What is the length of AC A 128 B 136 C 108 D 144 class=](https://us-static.z-dn.net/files/da0/85fa8593155be031454934560ad6c155.png)
Answer:
d. 144
Step-by-step explanation:
Triangle ABC and DCE are similar, that is, SSA
Therefore;
AB corresponds to DE, and AC corresponds to CE
Thus;
AB/DE = AC/CE
84/7 = (156-x) /x
cross multiplication;
84 x = 7(156-x)
84 x = 1092 -7x
91 x = 1092
x = 12
Therefore AC = 156 -12
= 144