If △ABC∼△ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.
We know that the ratio of the areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides,
area of △ ABCarea of △ DEF=(ABDE)2=(1214)2=3649
Trinagles ABC and DEF are similar. (i) If area (ΔABC)=16cm2,area(ΔDEF)=25cm2 and BC = 2.3 cm find EF. (ii) If area (ΔABC)=9cm2,area(ΔDEF)=64cm2 and DE=5.1 cm, find AB. (iii) If AC = 19 cm adn DF = 8 cm, find the ratio of the area of two triangles. (iv) If area (ΔABC)=36cm2, are (ΔDEF)=64cm2 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 ΔABC and ΔDEF.