Page 1 - Worksheet

SAI International School
CLASS - X

Mathematics
CHAPTER-6: Triangles-3

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SUBTOPIC : Area of Similar Triangles

1. In the given figure, ABC is similar to DEF. If AB = 4 DE and the area of ABC
2
is 112 cm , then the area of DEF is ________.

(1) 18 cm (2) 7 cm
2
2
2
2
(3) 8 cm (4) 6 cm

2.In two similar triangles ABC and DEF, AC =
10 cm and DF = 8 cm. Then, the ratio of the
areas of the two triangles is:
(1)10:8 (2) 20 : 16
(3)100:64 (4) 36 : 100

3.The areas of two similar triangles ABC and DEF are in the ratio 49:81. If BC = 9.1,
then the length of EF is:
(1) 14.3 cm (2) 12.4 cm
(3) 13.1 cm (4) 11.7 cm

2
2
4. The areas of two similar triangles are 100 cm and 49 cm , respectively. If the
altitude of the bigger triangle is 5 cm, then the corresponding altitude of the smaller
triangle is:
(1) 3.5 cm (2) 3.6 cm
(3) 2.5 cm (4) 3.9 cm

5.Given two similar triangles with the ratio of their corresponding sides as 3:7. If the
area of the smaller triangle is 63 cm , then the area of larger triangle is _____.
2
2
2
(1) 2.57 cm (2) 441 cm
2
(3) 147 cm (4) 343 cm
2
6.Given two similar triangles ABC and PQR. If their corresponding altitudes AD and
PS are in the ratio 5 : 11, then the ratio of the areas of ABC and PQR is:
(1) 25 : 11 (2) 5 : 121
(3) 25 : 121 (4) 11 : 5

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