Perimeter of similar triangles

The total distance around a shape is referred to as its perimeter. Depending on the dimensions, the perimeter of different shapes can be equal. Read More Read Less.

The ratio of perimeters of two similar triangles is equal to the ratio of their corresponding sides. Last updated on Feb 13, Get Started. SSC Exams. Banking Exams. Teaching Exams.

Perimeter of similar triangles

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. It is then said that the scale factor of these two similar triangles is 2 : 1. When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 3 shows two similar right triangles whose scale factor is 2 : 3. You can now find the area of each triangle. Figure 3 Finding the areas of similar right triangles whose scale factor is 2 : 3. Theorem If two similar triangles have a scale factor of a : b , then the ratio of their areas is a 2 : b 2. Figure 4 Using the scale factor to determine the relationship between the areas of similar triangles. Example 3: The perimeters of two similar triangles is in the ratio 3 : 4. The sum of their areas is 75 cm 2. Find the area of each triangle. According to Theorem 60, this also means that the scale factor of these two similar triangles is 3 : 4. Example 4: The areas of two similar triangles are 45 cm 2 and 80 cm 2.

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Similar figures are the figures that have the same shape but a different size. Since similar figures are related to each other, there exists a relation between their area and perimeter as well. Here we will learn to use this relation to find the unknown quantities of the figure. Read More Read Less. When two figures have the same shape but differ in size, they are said to be similar figures.

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Perimeter of similar triangles

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. It is then said that the scale factor of these two similar triangles is 2 : 1. When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 3 shows two similar right triangles whose scale factor is 2 : 3. You can now find the area of each triangle.

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Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

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