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These solutions are useful for Board exams You can share your doubts and ask questions from your classmates through Tiwari Academy Discussion Forum. Complete Exercises solutions and a brief description about triangles, similarity of triangles, theorems and the facts related to this chapter are given below. It will help the students to enhance their knowledge about the chapter triangles and the mathematician involved.

Similarity of geometric figures is an important concept of Euclidean geometry. Similarity in a geometric transformation of one figure into the other figure such that the measure of all linear elements of one figure are in proportion to the corresponding linear elements of the other figure.

Two triangles or any polygons of the same number of sides are similar, if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion. All congruent figures are similar but the similar figures need not be congruent. Area Theorem: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Pythagoras theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Visit to Discussion Forum to share your knowledge. This platform is being maintained to discuss the doubts of all students with experts and teachers. For any inconvenience, please contact us for help. We will try to solve your difficulty as soon as possible. What is meant by Similarity or Similar Triangle? What is Area Theorem in Class 10? State Pythagoras theorem? State Converse of Pythagoras theorem. To verify and use results given in the curriculum based on similarity theorems.

There are so many other important theorems based on similar triangles like If in two triangles, sides of one triangle are proportional to i. Or if two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

Chapter 4 - Quadratic Equations. Chapter 5 - Arithmetic Progressions. Chapter 6 - Triangles. Chapter 7 - Coordinate Geometry. Chapter 8 - Introduction to Trigonometry. Chapter 9 - Some Applications of Trigonometry. Chapter 10 - Circles. Chapter 11 - Constructions. Chapter 12 - Areas Related to Circles.

Chapter 13 - Surface Areas and Volumes. Chapter 14 - Statistics. Chapter 15 - Probability. Students were already introduced to the concept of Triangles in Class 9 wherein they studied properties such as congruence of Triangles. The introduction part of the chapter basically acts as a window for the students so that they are able to get an insight as to what would they be learning new under the topic of Triangles. In this section of the Class 10 Maths Chapter 6, students are introduced to the concept of similar figures.

Students are taught the basis of similarity in figures such as squares or equilateral triangles with the same lengths of the sides, circles with the same radii. As the students progress through this topic, they get to understand that similar figures can have the same shape but not necessarily the exact size.

The questions from this topic mostly ask students to prove similarity between figures by applying the theorems.

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