In ΔABC, a line is drawn parallel to BC, intersecting sides AB and AC at Points S and T, where AB = 8.3 cm, BC = 16.6 cm, and BS = 5.3 cm. What is the length of ST (in cm)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 6.
AS = AB - BS = 8.3 - 5.3 = 3 cm
AS/AB = ST/BC
⇒ 3/8.3 = ST/16.6
⇒ ST = (3 × 16.6)/8.3 = 49.8/8.3 = 6 cm