Viva Voce: Ratio of Areas of Two Similar Triangles - Class 10 PDF Download

Q.1. ∆ABC ~ ∆DEF and their areas are respectively 64 cm² and 121 cm². If EF = 15.4 cm, then find BC.

11.2 cm

Q.2. What is the ratio of the area of an equilateral triangle described on one side of a square to the area of an equilateral triangle described on one of its diagonal?

1:2

Q.3. Is a rhombus of side 3 cm congruent to another rhombus of side 4 cm?

No

Q.4. What are the criteria for two triangles to be similar?

Two triangles are said to be similar, if

• their corresponding angles are equal.
• their corresponding sides are in proportion

Q.5. Is it true, if the areas of two similar triangles are equal, then they are congruent?

Yes

Q.6. Are a square and a rhombus of side 3 cm similar?

No

Q.7. Is the ratio of the areas of two similar triangles equal to the square of the ratio of their corresponding medians?

Yes

Q.8. What Is the Areas of Similar Triangles Theorem?

The areas of similar triangles theorem state that "the ratio of the area of two similar triangles is equal to the square of the ratio of any pair of their corresponding sides"

Q.9. What Is the Area of Similar Triangles?

The area of two similar triangles shares a relationship with the ratio of the corresponding sides of the similar triangles. According to the area of similar triangles theorem, we can state that "the ratio of the areas of two similar triangles is equal to the square of the ratio of any pair of their corresponding sides".

Q.10. Do Similar Triangles Have Equal Areas?

Similar triangles will have the ratio of their areas equal to the square of the ratio of their pair of corresponding sides. So, the areas of two triangles cannot be necessarily equal. But note that congruent triangles always have equal areas.