In the given figure, BA ∥ DC. Show that ΔOAB ∼ ΔODC. If AB = 4 cm, CD = 3 cm, OC = 5.7 cm and OD = 3.6 cm, find OA and OB.
Similarity
2 Likes

Question

In the given figure, BA ∥ DC. Show that ΔOAB ΔODC. If AB = 4 cm, CD = 3 cm, OC = 5.7 cm and OD = 3.6 cm, find OA and OB.

KnowledgeBoat · Accepted Answer

Considering ΔAOB and ΔDOC, ∠AOB = ∠COD [Vertically opposite angles are equal] ∠A = ∠D [Alternate angles are equal] ΔAOB ΔDOC (By A.A. axiom) We know that, Corresponding sides of similar triangles are proportional. Considering, Considering, Hence, OA = 4.8 cm and OB = 7.6 cm.

Mathematics

In the given figure, BA ∥ DC. Show that ΔOAB ∼ ΔODC. If AB = 4 cm, CD = 3 cm, OC = 5.7 cm and OD = 3.6 cm, find OA and OB.

Similarity

Related Questions

In the given figure, medians AD and BE of ΔABC meet at G and DF ∥ BE. Prove that :
(i) EF = FC.
(ii) AG : GD = 2 : 1.

In the given figure, DE ∥ BC and BD = DC.
(i) Prove that DE bisects ∠ADC.
(ii) If AD = 4.5 cm, AE = 3.9 cm and DC = 7.5 cm, find CE.
(iii) Find the ratio AD : DB.

In the given figure, ∠ABC = 90° and BD ⟂ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.