In ΔSTU, 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?
Answer & explanation
Correct answer: option 2
⇒ According to the concept
⇒ \(\frac{SX}{XT}\) = \(\frac{2}{5}\)
⇒ \(\frac{SY}{YU}\) = \(\frac{2}{5}\)
⇒ SY = \(\frac{20}{5}\) x 2 = 8 cm,
Now, the length of SU
⇒ SU + YU
⇒ 20 + 8 = 28 cm.
Therefore, the value of SU is 28 cm.