Hey there! We receieved your request. The point of intersection of the medians of the three sides of the Triangle is the centroid of that Triangle. It will always inside the Triangle. The point of intersection of the angle bisectors of the three angles of the Triangle is triangoes the incenter of that Triangle.

It is the point from where the circle is inscribed in the Triangle. The radius is find by drawing the perpendicular from the incenter to any of the side of the Triangle.

The point of intersection of the perpendicular bisectors of the three vertices of the Triangle is called the circumcenter of that Triangle. It is not always inside the Triangle. It could be outside the Triangle for obtuse Triangle and fall at the midpoint of the hypotenuse of the right angled Triangle. The class 10 maths ch triangles kingdom of intersection of the altitudes of the Triangle class 10 maths ch triangles kingdom the orthocenter of that Triangle.

Like circumcenterit also falls outside the Triangle in case kihgdom obtuse Triangle and it falls at the vertex of the Triangle in case of right angle Triangle. The above explanation shows that if two figures are congruent then they will be similar also but it is not necessary that if two figures are similar then they will be congruent.

If the corresponding angles of the two Triangles are same then they are called equiangular Triangles. According to Thales theoremif in a given Triangle a line is drawn parallel to any of the sides of the Triangle so that the other two sides intersect at some distinct point then it divides the two sides in the same ratio. It is the opposite of basic proportionality theorem, which says that if in a given Class 10 maths ch triangles kingdom a straight line divides the two sides of the Triangle in the same ratio then that straight line is parallel to the third side of the Triangle.

If in two given Triangles all the corresponding angles are equal then their corresponding sides class 10 maths ch triangles kingdom also be in proportion. Remark : If the two corresponding angles of the two Triangles are equal then Byjus Maths Class 9 Triangles You according to the sum of angles of Triangle, the third angle will also be equal.

So two Triangles will be similar if their two angles are equal with the two angles of another Triangle. This is known as AA Angle-Angle trizngles. If in the two Triangles, all the sides of one Triangle are in same ratio with the corresponding sides of the other Triangle, then their corresponding angles will be equal. Hence the two Triangles are similar. Remark : The above two criterions shows that if any of the two criteria satisfies then the other implies.

So we need not check for both the conditions mathe satisfy to find the similarity of the two Triangles. If all the angles are equal then all the sides will be in proportion itself and vice versa.

If in the two Triangles, two sides are in the same ratio with the two sides of the other Triangle and the angle including those sides is trinagles then these two Triangles will be similar. If the two similar Triangles are given then the square mafhs the ratio of their class 10 maths ch triangles kingdom sides will be equal to the ratio of their area.

Pythagoras theorem says that in a right angle Triangle, the square of the hypotenuse i. In a Triangle, if the sum of the square of the two sides is equal to the square of the third side then the given Triangle is a right angle Triangle. In a right angle Triangle, if we draw a matus from the right angle to the hypotenuse of the Triangle, then both the new Triangles will be similar to the whole Triangle.

The laws of sines and cosines are used to find the unknown side or angle of an oblique Triangle. Oligue Triangle is a Triangle which is not a right angle Triangle. The law of sines shows that the sides of a Triangle are proportional to the Class 10 Maths Ch Triangles 40 sines of the opposite angles.

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Revision Notes on Triangles Any polygon which has three sides and three vertices is known as Triangle. Types of Triangles 1. There are three types of Triangles on the basis of the length of the sides.

There are three types class 10 maths ch triangles kingdom Triangles on kingrom basis of angles. Centers of the Triangle There are four different centers of the Triangle 1. Centroid of a Triangle The class 10 maths ch triangles kingdom of intersection of the medians of the three sides of the Triangle is the centroid of that Triangle.

Incenter of a Triangle The point of intersection of the angle bisectors of the three angles of the Triangle is called the incenter of that Triangle. Circumcenter of the Triangle The point of intersection of the perpendicular bisectors of the three vertices of the Triangle is called the circumcenter of that Triangle.

Orthocenter The point of intersection of the altitudes of the Triangle is the orthocenter of that Triangle. Congruent vs. Similar figures Congruent Similar Angles Corresponding angles are.

Corresponding angles are. Sides Corresponding sides are. Corresponding sides are proportional. Example Explanation Both the square have the triaangles angles and same.

Both class 10 maths ch triangles kingdom squares have same angles but not the same sides. Symbols The mingdom explanation shows that if two figures are congruent then they will be similar also but Byjus Maths Class 9 Triangles Inc it is not necessary that Byjus Class 10 Maths Triangles Key if two figures are similar class 10 maths ch triangles kingdom they will be congruent.

Similarity of Triangles In the Triangles also we will use the same condition that the two Triangles will be similar if- The corresponding trizngles of the two Triangles are same and The corresponding sides of the two Triangles are in same proportion. Basic Proportionality Theorem Thales Theorem According to Thales theoremif in a given Triangle a line is drawn parallel to any of the sides of the Triangle so that the other two sides intersect at some distinct point then it divides the two sides in the same ratio.

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Get the support to practise Maths textbook questions with NCERT Solutions for CBSE Class 10 Mathematics Chapter 6 Triangles at TopperLearning. These textbook solutions will support you in understanding the application of the basic proportionality theorem to solve Class 10 problems based on triangles. Revise rules such as Side-Angle-Side, Side-Side-Side and Angle-Angle-Angle while practising with our CBSE Class 10 Maths . Aug 31, �� GET DEAR SIR TEST SERIES NOW myboat225 boatplans,In this video, we are going to move towards chapter number 6 maths class We will start from the conc. Oct 24, �� According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks. Triangles Class 10 Mind Map; Triangles Class 10 Ex ; Triangles Class 10 Ex in Hindi Medium; Triangles Class 10 Ex ; Triangles Class 10 Ex in Hindi Medium; Triangles Class 10 Ex ; Triangles Class 10 Ex in Hindi Medium; Triangles Class 10 Ex ; Triangles Class 10 Ex .




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