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Unit 5 Similar TrianglesLesson: Similar Triangles Just as congruence introduced us to new notation, similarity will have its own set of notation. If CAT is congruent to MEW, we write CAT MEW. If two
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How to fill out area of similar triangles

01
Measure the corresponding sides of the similar triangles.
02
Use the formula for finding the area of a triangle, which is 0.5 * base * height.
03
Make sure to use the corresponding sides for the base and height in the formula.
04
Calculate the area of each triangle separately.
05
The area of similar triangles will be in proportion to the square of the ratio of their corresponding sides.

Who needs area of similar triangles?

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Students studying geometry and trigonometry
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Architects and engineers for designing buildings and structures
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Surveyors for measuring land plots using similar triangles
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The area of similar triangles is proportional to the square of the ratio of their corresponding side lengths. If two triangles are similar, the ratio of their areas is equal to the square of the ratio of the lengths of their corresponding sides.
Typically, students in geometry classes may be required to learn about the area of similar triangles for educational assessments. Additionally, professionals in fields such as architecture or construction might apply the concepts in their work.
To calculate the area of similar triangles, you need to determine the lengths of the corresponding sides of the triangles, compute their ratio, and then apply the area formula by taking the square of that ratio multiplied by the area of the smaller triangle.
The purpose of understanding the area of similar triangles is to solve problems related to scale, proportion, and optimization in various real-life applications such as design, modeling, and spatial reasoning.
Typically, the lengths of corresponding sides, the ratio of the sides, the area of one triangle, and the calculated area of the second triangle should all be reported when discussing the area of similar triangles.
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