Q8 of 168 Page 4

If and are two triangles such that , then Area (): Area () =

Given ΔABC and ΔDEF are two triangles such that

We know that if two triangles are similar then their sides are proportional.

Since , ΔABC and ΔDEF are similar.

We know that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

∴ ar (ΔABC): ar (ΔDEF) = 4: 25

Two isosceles triangles have equal angles and their areas are in the ratio 16 : 25. The ratio of their corresponding heights is

If and are similar such that 2 AB = DE and BC = 8 cm, then EF =

is such that AB = 3 cm, BC = 2 cm and CA = 2 . 5 cm. If and EF = 4 cm, then perimeter of is

XY is drawn parallel to the base BC of cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY =