1. If the ratio of areas of two similar triangles is 9:16 then the ratio of their corresponding sides is
(a) 3 : 5
(b) 3 : 4
(c) 4 : 5
(d) 4 : 3
2. The sides of a triangle are in the ratio 5:4:3. Find the sides of this triangle, given that another similar triangle of corresponding sides 30, 24 and 18 cm has an area 9 times the area of the first triangle.
(a) 12, 10, 6 cm
(b) 10, 8, 6 cm
(c) 16, 12, 9 cm
(d) 15, 12, 9 cm
3. The perimeters of two similar triangles ∆ ABC and ∆ PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is:
(a) 25 cm
(b) 10 cm
(c) 15 cm
(d) 20 cm
4. ∆ ABC and ∆ DEF are similar and their areas be respectively 64 cm^2 and 121 cm^2. If EF =15.4 cm, BC is:
(a) 12.3 cm
(b) 11.2 cm
(c) 12.1 cm
(d) 11.0 cm
5. Two triangle ABC and DEF are similar to each other in which AB=10 cm, DE=8cm. Then the ratio of the area of triangles ABC and DEF is
(a) 4 : 5
(b) 25 : 16
(c) 64 : 125
(d) 4 : 7
6. If ∆ ABC and ∆ DEF are similar such that 2AB=DE, BC=8, then EF is
(a) 16 cm
(b) 12 cm
(c) 4 cm
(d) 8 cm
7. If ∆ ABC is similar to ∆DEF such that BC=3cm, EF=4cm. and ∆ ABC=54 cm^2 then the area of ∆ DEF is
(a) 78 cm^2
(b) 96 cm^2
(c) 54 cm^2
(d) 66 cm^2
8. ∆ABC and ∆DEF are similar to each other in which AB=4cm, BC=6cm. DE=8cm. then side EF is
(a) 12 cm
(b) 15 cm
(c) 18 cm
(d) 10 cm
9. In ∆ABC= a line AB is drawn parallel to QR where PA=3 cm, AQ=5 cm, BP=6 cm, then find the length of BR
(a) 10 cm
(b) 12 cm
(c) 8 cm
(d) 15 cm
10. ∆ABC~∆PQR in which AB=6cm, BC=8 cm, CA=12 cm. and PQ=9cm. then perimeter of ∆PQR is
(a) 30 cm
(b) 25 cm
(c) 26 cm
(d) 39 cm
Note : Answers will be updated soon.....
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