NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.6
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NCERT Solutions for Class 10 Maths Chapter 6 Triangles of exercise 6.6 (Class 10 Maths Ex 6.6) for all boards. We have updated all the contents for the new academic session 2021-2022.
Get free Ex 6.6 class 10 Maths NCERT Solutions for Chapter 6 Triangles India’s No. 1 Handwritten (Like Class Notes) which provides a complete explanation of the exact and easy solution to all the problems covered in NCERT textbooks to the students class 10 Ex 6.6 Triangles in PDF format, which is prepared by our subject qualified and experts in NCERT textbooks.
You can download this NCERT Maths class 10 PDF for free and start your preparation to get maximum marks in upcoming and Board examinations. Gicsu NCERT Solution Maths Class 10 Chapter 6 exercise 6.6 Pdf helps you in your preparation with exercise differentiation so that you can read each chapter more easily and can come back to any chapter again if necessary.
NCERT Class 10th Maths chapter 6 Ex 6.6 Pdf is Handwritten under the CBSE guidelines to help you score well in all upcoming exams.
Math NCERT Solution Class 10
NCERT Math Class 10, Several important theorems are introduced which form the basis of mathematical concepts. Not only to score well in the board exams but also to build a strong foundation in the subject, it is necessary for the class 10 students to learn all the theorems thoroughly with statements and proofs. There are some important Theorem in NCERT Maths class 10 like Pythagoras Theorem Formula, Converse of Pythagoras, BPT theorem etc. which is often asked in exams.
NCERT Solutions for Class 10 Maths ex 6.6 Triangles
List of Important Class 10 Maths Theorems
Basic Proportionality Theorem or BPT (Theorem 6.1): 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.
Converse of BPT Theorem (Theorem 6.2): If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
Areas of Similar Triangles (Theorem 6.6): The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Pythagoras Theorem (Theorem 6.8): In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Converse of Pythagoras theorem (Theorem 6.9): In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
In this chapter you have studied the following points
- If in two triangles, corresponding angles are equal, then their corresponding sides are in
the same ratio and hence the two triangles are similar (AAA similarity criterion) - If in two triangles, two angles of one triangle are respectively equal to the two angles of
the other triangle, then the two triangles are similar (AA similarity criterion). - If in two triangles, corresponding sides are in the same ratio, then their corresponding
angles are equal and hence the triangles are similar (SSS similarity criterion). - If one angle of a triangle is equal to one angle of another triangle and the sides including
these angles are in the same ratio (proportional), then the triangles are similar
(SAS similarity criterion).
Important Points:
- All the congruent figures are similar but the converse is not true.
- Two 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 (i.e., proportion). - Two 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 (i.e., proportion). - If in a triangle, square of one side is equal to the sum of the squares of the other two
sides, then the angle opposite the first side is a right angle.