Class 10 Exam > Class 10 Videos > 04 - Areas Of Similar Triangles - Class 10 - Maths
04 - Areas Of Similar Triangles - Class 10 - Maths Video Lecture
FAQs on 04 - Areas Of Similar Triangles - Class 10 - Maths Video Lecture
| 1. What is the formula to find the area of similar triangles? |  |
Ans. The formula to find the area of similar triangles is as follows:
If two triangles are similar, then the ratio of their areas is equal to the square of the ratio of their corresponding sides. In other words, if the ratio of the lengths of corresponding sides of two similar triangles is a:b, then the ratio of their areas is a^2:b^2.
| 2. How can we prove that two triangles are similar? | |
Ans. Two triangles can be proven to be similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional. This can be done by using the AA (Angle-Angle) or SSS (Side-Side-Side) similarity criteria.
| 3. Can similar triangles have different areas? | |
Ans. No, similar triangles always have the same shape and their corresponding angles are congruent. Since the area of a triangle is determined by its shape and the lengths of its sides, similar triangles will always have the same area, although it may be scaled up or down.
| 4. How can we find the area of a triangle if the length of one side is given? | |
Ans. If the lengths of two sides and the included angle of a triangle are known, the area can be found using the formula:
Area = 1/2 * a * b * sin(C)
where 'a' and 'b' are the lengths of the two sides and 'C' is the included angle.
| 5. Can the area of similar triangles be equal if their corresponding sides are not equal in length? | |
Ans. No, the area of similar triangles cannot be equal if their corresponding sides are not equal in length. The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, if the corresponding sides have different lengths, the areas will also be different, although they will be proportional to the square of the side length ratio.
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Dec 23, 2024 Last updated |
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