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A triangle have three edges and three vertices. A triangle is a basic shape in geometry.
In this chapter we will cover the following topics related to triangle.
-Similar figures
A similar figures have a same shape but a similar figures not have a same size. In geometry a two circle are similar, two squares are similar etc.
-Similarity of triangles
A similar triangle have two triangles are said to be similar if their corresponding angles are equal and their corresponding sides are proportional.
-Criteria for similarity of triangles
-Area of similar triangles
-Pythagoras
In a right triangle the square of the hypotenuse is equal to the sum of the square of the other two side.

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### Lecture 12: Triangles part- 12

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Published    22-Jul-2017      Bilingual

## TRIANGLES - MATHEMATICS CBSE CLASS 10TH

Study Khazana delivers CBSE Class 10th Maths, twelve video lectures on Triangles with complete solutions using sample paper based on NCERT Syllabus. This chapter covers the following topic to make students understand the topic

## WHAT DO YOU STUDY IN TRIANGLES?

• Definitions, examples, counter examples of similar triangles
• (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
• (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
• (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
• (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
• (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
• (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
• (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
• (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
• (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.

## HOW WE HELP THE STUDENTS???

These video lectures will make the subject easy for students. The free lecture is available as a demo. We provide mock exams after completion of the full course. These lectures are recording of the live session taken. It will include question and answers of the students undertaken during the class. CBSE Class 10th previous question papers and sample papers are also given to the students for practice. Video Lectures classes are taken by Study Khazana’s best faculties. We offer pen drives and online-offline study mode to the students. We also have Android and IOS Study Khazana mobile app for helping students to study anywhere at any time.

#### Sameer Kohli

Mr. Kohli, founder of Jupiter Education Planet, is a visionary in the field of education and holds an experience of more than 15 years as a Mathematics and Science teacher. Owing to his student-friendly teaching style, he has been able to build an unflinching reputation for himself. He is not only an excellent teacher who has delivered exceptional results throughout his career, but also has a deep insight into child and parent psychology. Over the years, he has acquired expertise in the areas of motivation and counselling of parents and children to help them take better decisions. With a passion to change lives for the better, Mr. Kohli knows the right approach to help children in optimum decision making at both personal and professional level.

##### Qualification

B.Sc. (Hon.) (D.U.)

10 years

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