Q2 of 186 Page 229

The areas of two similar triangles ABC and PQR are in the ratio 9 : 16. If BC = 4.5 cm, find the length of QR.


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

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19

In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that BD ⊥ AC. If DP ⊥ AB and DQ ⊥ BC then prove that (a) DQ2 = DP • QC (b) DP2 = DQ • AP.

 1

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

 3

ΔABC ~ ΔPQR and ar (ΔABC) = 4ar (ΔPQR). If BC = 12 cm, find QR.

 4

The areas of two similar triangles are 169 cm2 and 121 cm2 respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.