alleryIf two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio of their areas is
A3 : 5
B5 : 3
C9 : 25
D6 : 10
Answer & Solution
Correct answer: C. 9 : 25
1. Perimeter scales linearly with side, so perimeter ratio equals side ratio = 3 : 5.
2. Area ratio equals the square of side ratio.
3. 3 squared : 5 squared = 9 : 25.
_Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_
Keep practising Triangles, Circles and Geometry
Browse all Triangles, Circles and Geometry questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
The hypotenuse of a right triangle is 26 cm and one leg is 24 cm. The other leg isIn triangle ABC, AD bisects angle A and meets BC at D. If AB = 6 cm, AC = 9 cm and BC = 10In a right triangle the legs measure 9 cm and 12 cm. The hypotenuse isA vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 2Two triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides isIn triangle ABC, DE is parallel to BC where D lies on AB and E on AC. If AD = 2 cm, DB = 3Pythagoras theorem applies to which triangles?In two similar triangles, the ratio of corresponding sides is called