Question : If the areas of two similar triangles are in the ratio 196 : 625, what would be the ratio of the corresponding sides?

Option 1: 14 : 25

Option 2: 13 : 20

Option 3: 14 : 20

Option 4: 13 : 25

Question : Which of the following is a true statement?

Option 1: Two similar triangles are always congruent.

Option 2: Two similar triangles have equal areas.

Option 3: Two triangles are similar if their corresponding sides are proportional.

Option 4: Two polygons are similar if their corresponding sides are proportional.

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