Question

Abcd is a trapezium in which ab parallel to dc and ab=2cd

Answer 1

your question is not completeted

Answer 2

Question

• In a trapezium ABCD with AB║DC diagonals intersect each other at the point 'O'. If 2AB = 2CD, find the ratio of areas of triangles AOB and COD.

Answer:

• 4 : 1 is the required ratio

Step-by-step explanation:

Given

• In a trapezium ABCD
• AB║DC
• AB = 2CD

To find

• ar(ΔAOB) : ar(ΔCOD)

Solution

(In ΔAOB and ΔCOD)

• ∠AOB = ∠COD (vertically opposite angles)
• ∠BOA = ∠DCO (alternate interior angles)
• ΔAOB ~ ΔCOD

(By AA similarity)

• ar(ΔAOB)/ar(ΔCOD) = AB²/DC²
• (2DC)²/(DC)² = 4/1

∴ ar(ΔAOB) : ar(ΔCOD) = 4 : 1