Answer:
AB = 18.7
CB = 9.4
BN = 5.4
Explanation:
From the diagram given, the triangle CMN is similar to CAB
Hence
CM/MN = CA/AB
Since CA = CM + MA, the expression becomes
CM/MN = CM+MA/AB
Plug in the given values;
6/8 = 6+8/AB
6/8 = 14/AB
6AB = 8*14
6AB = 112
AB = 112/6
AB = 18.7 (to nearest tenth)
Also for BC;
CN/MN = CB/AB
4/8 = CB/18.7
8CB = 4 * 18.7
8CB = 74.8
CB = 74.8/8
CB = 9.4 (to nearest tenth)
For BN;
CB = CN + BN
9.4 = 4 + BN
BN = 9.4-4
BN = 5.4 (to the nearest tenth)
