In the given figure, ΔOAB ~ ΔOCD. If AB = 8 cm, BO = 6.4 cm, OC = 3.5 cm and CD = 5 cm, find (i) OA (ii) DO.

(i). Given that, AB = 8 cm

BO = 6.4 cm,

OC = 3.5 cm

& CD = 5 cm

∆OAB ∼ ∆OCD

When two triangles are similar, they can be written in the ratio as

Substitute gave values in the above equations,

⇒

⇒ OA = 5.6

Thus, OA = 5.6 cm

(ii). Given that, AB = 8 cm

BO = 6.4 cm,

OC = 3.5 cm

& CD = 5 cm

∆OAB ∼ ∆OCD

When two triangles are similar, they can be written in the ratio as

Substitute gave values in the above equations,

⇒

⇒ DO = 4

Thus, DO = 4 cm