In △STU, X and Y are the points on sides ST and SU, respectively. XY is parallel to TU. If SX: XT = 2 : 5 and UY = 20 cm, then what is the value of SU?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 28 cm.
SX : XT = 2 : 5
⇒ SY : UY = 2 : 5
⇒ SY = (20/5) × 2 = 8 cm
SU = SY + UY = 8 + 20 = 28 cm