Same chapter3 marksDifficulty: Medium
In triangle ABC, D and E are points on AB and AC such that DE is parallel to BC. If AD : DB = 2 : 3 and the area of triangle ADE is 16 cm2, find the area of triangle ABC.
Similarity
1 markDifficulty: Medium
The areas of two similar triangles are in the ratio 16 : 25. The ratio of their corresponding sides is:
- a16 : 25
- b4 : 5
- c256 : 625
- d2 : 5
Original Khojo Papers practice question — not from a past board paper.
Answer
4 : 5
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The ratio of areas is the square of the ratio of sides, so take the square root.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
The areas of two similar triangles are 81 cm2 and 49 cm2. If a side of the larger triangle is 27 cm, find the corresponding side of the smaller.
Similarity
Same chapter3 marksDifficulty: Medium
Two similar triangles have perimeters 30 cm and 45 cm. If a side of the smaller triangle is 8 cm, find the corresponding side of the larger triangle.
Similarity
Same chapter2 marksDifficulty: Medium
Assertion: all squares are similar to one another. Reason: in any two squares the corresponding angles are equal and the corresponding sides are proportional. State whether both are true and whether the reason explains the assertion.
Similarity
Same chapter3 marksDifficulty: Medium
The corresponding sides of two similar triangles are in the ratio 3 : 5. Find the ratio of their areas.
Similarity
Same chapter3 marksDifficulty: Medium
Two similar triangles have areas 36 cm2 and 64 cm2. If the perimeter of the smaller is 27 cm, find the perimeter of the larger.
Similarity