Q16 of 32 Page 6

ΔABC ~ ΔDEF and their areas are respectively 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC.(CBSE 2004)


We know that if two triangles are similar then the ratio of their areas is equal to the ratio of the squares of their corresponding sides.




More from this chapter

All 32 →
14

The areas of two similar triangles are 121 cm2 and 64 cm2 respectively. If the median of the first triangle is 12.1 cm, find the corresponding median of the other.(CBSE 2001)

 15

ΔABC ~ΔDEF and their areas are respectively 100 cm2 and 49 cm2. If the altitude of ΔABC is 5 cm, find the corresponding altitude of ΔDEF.(CBSE 2002)

 17

In the given figure, ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 cm, prove that area of ΔAPQ is 1/16 of the area of ΔABC.

(CBSE 2005)

 18

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.(CBSE 2002, 04, 05, 06, 08, 09, 10)