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


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