Question

Triangles ABC and DEF are similar.

(i) If area (∆ABC) = 16 cm², area (∆DEF) = 25 cm² and BC = 2.3 cm, find EF.
(ii) If area (∆ABC) = 9 cm², area (∆DEF) = 64 cm² and DE = 5.1 cm , find AB.
(iii) If AC = 19 cm and DF = 8 cm, find the ratio of the area of two triangles.
(iv) If area (∆ABC) = 36 cm², area (∆DEF) = 64 cm² and DE = 6.2 cm, find AB.
(v) If AB = 1.2 cm and DE = 1.4 cm, find the ratio of the areas of ∆ABC and ∆DEF.

Answer 1

Given: ΔABC and ΔDEF are similar triangles

To find:

(i) If area of ΔABC = 16cm², area of ΔDEF = 25cm² and BC = 2.3 cm, Find EF.

(ii) If area of ΔABC = 9cm², area of ΔDEF = 64cm² and DE = 5.1 cm, Find AB.

(iii) If AC = 19cm and DF = 8cm, find the ratio of the area of two triangles.

(iv) If area of ΔABC = 36cm², area of ΔDEF = 64cm² and DE = 6.2 cm, Find AB.

(v) If AB = 1.2cm and DE = 1.4cm, find the ratio of the area of two triangles.

(i) We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

(ii)

(iii)

(iv)

(v)