Similar triangles class 10 exercise 8.3 solutions

The answers to the questions present in the NCERT books are undoubtedly the best study material a student can get hold of. Practising the textbook questions will help students analyse their level of preparation and knowledge of concepts.

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Similar triangles class 10 exercise 8.3 solutions

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The chapter constitutes a total of 4 exercises.

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Question 1. Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides. Question 2. Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal. Question 3. Question 4. ABXY 2 ar.

Similar triangles class 10 exercise 8.3 solutions

Calculate the values of x and y. Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side Using basic proportionality theorem. Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. Using converse of basic proportionality theorem. Show that BC QR. Show that. The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle. A girl of height 90 cm is walking away from the base of a lamp post at a speed of 1. If the lamp post is 3.

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The following table comprises the important topics covered in the chapter Introduction to Trigonometry. Using this concept, the chapter further explains how to find the area of sector and segment of a circular region. Problems should not involve more than two right triangles. Download Now. Again, another fun question from the textbook exercise that you can expect in your examination:. The solutions are available in both chapter-wise and exercise-wise formats, which can be downloaded and used by the students. Prove The lengths of tangents drawn from an external point to a circle are equal. Also, here at Vedantu, you can get notes, solutions on any chapter of any subject. At the end of this chapter, the Pythagoras Theorem and the Converse of Pythagoras Theorem are described. It further explains the condition for the similarity of two triangles and theorems related to the similarity of triangles. Now if the other two angles sum up to be 90 o , then each of them will be 45 o and hence, complementary. Only simple identities to be given.

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Assuming that the above three conditions are known, how can we determine the height of the minar? Trigonometry is a very important area that is covered in Class 10 Mathematics. Chapter 10 - Circles. The last exercise is optional and has high-level questions based on all the topics of this chapter. Again, carry out the division process. Also, here at Vedantu, you can get notes, solutions on any chapter of any subject. Students are recommended to first understand the syllabus for the academic year and learn the concepts based on them for better performance. Chapter 11 - Constructions. Exercise 5. Definitions, examples, and counter examples of similar triangles. Area of sectors and segments of a circle. Case 2: There is one and only one tangent to a circle passing through a point lying on the circle. In Chapter 13, there are a total of 5 exercises.