Question : The area of the two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.

Option 1: 3 : 5

Option 2: 7 : 3

Option 3: 7 : 5

Option 4: 2 : 3

Question : If the areas of two isosceles triangles with equal corresponding angles are in the ratio of $x^2:y^2$, then the ratio of their corresponding heights is:

Option 1: $x: y$

Option 2: $\sqrt{x}: \sqrt{y}$

Option 3: $x^3: y^3$

Option 4: $x^2: y^2$

Question : The sides of two similar triangles are in the ratio 5 : 7. The areas of these triangles are in the ratio of:

Option 1: 35 : 49

Option 2: 15 : 49

Option 3: 25 : 49

Option 4: 36 : 49

Question : If the ratio of corresponding sides of two similar triangles is $\sqrt{5}: \sqrt{7},$ then what is the ratio of the area of the two triangles?

Option 1: $\sqrt[3]{5}: \sqrt{7}$

Option 2: $25: 49$

Option 3: $\sqrt{5}: \sqrt{7}$

Option 4: $5: 7$

Question : If the ratio of the area of two similar triangles is $\sqrt{3}:\sqrt{2}$, then what is the ratio of the corresponding sides of the two triangles?

Option 1: 9 : 4

Option 2: 3 : 2

Option 3: $\sqrt[3]{3}: \sqrt[3]{2}$

Option 4: $\sqrt[4]{3}: \sqrt[4]{2}$