Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, 7.3 units.
What are similar triangles?
Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.
The two of the given triangles are similar, therefore, the ratio of the corresponding sides of the triangles will be equal. Thus, we can write the common ratio as,
Common ratio = AB / ST = BC / TU = AC / SU
8.1 / 21.87 = 5.2/ 14.04 = AC / 19.71
Now, the ratio can be solved for AC as shown below,
5.2/ 14.04 = AC / 19.71
AC = (5.2 × 19.71) / 14.04
AC = 7.3
Hence, the length of side AC in ΔABC is 7.3 units.
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