In triangle ABC, D and E are midpoints of AB and AC respectively, so DE is parallel to BC.
Triangle ADE is similar to triangle ABC.
Find the ratio area(ADE) : area(trapezium DBCE).

Question

In triangle ABC, D and E are midpoints of AB and AC respectively, so DE is parallel to BC. Triangle ADE is similar to triangle ABC. Find the ratio area(ADE) : area(trapezium DBCE).

Accepted Answer

1:3. AD:AB = 1:2, so area(ADE):area(ABC) = 1:4. Trapezium = ABC - ADE = 4-1 = 3 parts. So area(ADE):trapezium = 1:3.

In triangle ABC, D and E are midpoints of AB and AC respectively, so DE is parallel to BC.
Triangle ADE is similar to triangle ABC.
Find the ratio area(ADE) : area(trapezium DBCE).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

In triangle ABC, D and E are midpoints of AB and AC respectively, so DE is parallel to BC.Triangle ADE is similar to triangle ABC.Find the ratio area(ADE) : area(trapezium DBCE).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

In triangle ABC, D and E are midpoints of AB and AC respectively, so DE is parallel to BC.
Triangle ADE is similar to triangle ABC.
Find the ratio area(ADE) : area(trapezium DBCE).