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?

24 cm 28 cm 32 cm  26 cm

28 cm

⇒ 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.