Similar triangles are those triangles whose corresponding sides are in the same ratio. The length of the sides ST and RT are 5 units and 3 units, respectively.
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.
Given that the two triangles are similar because the two have the same ratio. Therefore, the ratio of the corresponding sides in the triangle can be written as,
Ratio = AB/RS = BC/ST = AC/RT
Ratio = 18/6 = 15/ST = 9/RT
Now, using the ratio the length of the sides can be written as,
18/6 = 15/ST
ST = (15 × 6)/18
ST = 5 units
18/6 = 9/RT
RT = (9 × 6)/18
RT = 3 units
Hence, the length of the sides ST and RT are 5 units and 3 units, respectively.
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