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In NCERT solutions for class 10 maths chapter 6, students will access the solutions to ncert solutions for class 10 maths ch 6 am problems based on the similarity of triangles. Latest : Trouble with homework? Post your queries of Maths and Science with step-by-step solutions instantly.

Ask Mr AL. This solutinos type of questions can be solved using the concept of similarity of triangles. Question: A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1. If the lamp is 3. From the theorem:- If two triangles are similar then the ratio of their sides is equal.

Here you will get NCERT solutions from class 6 to 12 for science and maths by clicking on the above-given link. NCERT solutions for class 10 maths. NCERT solutions for Ncert Solutions For Class 10 Maths Ch 6 Kit class 10 science. Since all the circles have a similar shape. They may have xlass radius but the shape of all circles is the.

Since all the squares have a similar shape. They may have a different side but the shape of all square is the. Since all the equilateral triangles have a similar shape.

They may have different sides but the shape of all equilateral triangles is the. Two polygons of the same number of sides are similar if their corresponding angles are equal and their corresponding sides are proportional. Q2 1 Give two different examples of a pair of similar figures.

Q2 2 Give two different examples of a pair of non-similar figures. Q3 State whether the following quadrilaterals are similar clasd not:. Q1 In Fig.

Find EC in i and AD in ii. Q3 In Fig. Q4 In Fig. Q5 In Fig. Show that EF QR. Q6 In Fig. Show that BC QR. Q7 Using Theorem 6. Recall that you ncert solutions for class 10 maths ch 6 am proved it in Class IX.

Q is the midpoint of AC. Q8 Using Theorem 6. Recall that you have done it aolutions Class IX. By basic proportionality theorem, we. Show. Draw a line EF passing through point Solutilns such.

Inwe. By basic proportionality theorem. Q1 State which pairs of triangles in Fig. Write the similarity criterion used solutiins you for 01 the question and also write the pairs of similar triangles in the symbolic form :. By AAA. By SSS. Inwe know. Q2 In Fig. Given :. DOB is a straight line. Since, so.

Corresponding angles are equal in similar triangles. Using a similarity criterion for two triangles, show. Alternate interior angles as.

Vertically opposite angles are equal. Given :. To solutiions :. By SAS. By AA. Given :. By CPCT. By SAS criteria. Q7 1 In Ncert solutions for class 10 maths ch 6 am. Show that:. Both angles are right angle. Vertically opposite angles. By AA criterion. Q7 2 In Fig. Q7 3 In Fig. Q7 4 In Fig. Opposite angles of a parallelogram are equal.

Alternate Ncert Solutions For Class 10 Maths Ch 13 Year angles of AE BC. Q9 1 In Fig. Prove that:. Q9 In Fig. Prove. Ifshow that:. CD fot Ncert solutions for class 10 maths ch 6 am are bisectors of equal angles.

Q11 In Fig. If andprove. SSS similarity. Corresponding angles of similar triangles. SAS similarity. By AA rule. From above equation 3. Q15 A vertical pole of length 6 m casts a shadow 4 m long forr the ground matus at the same time a tower casts a shadow 28 m long.

Find the height of the tower. Angle of sun at same place. AA similarity. From sm 2. From equation 4. Q1 Let and their areas be, respectively, 64 and Alternate angles. AAA similarity. Q4 If the areas ncerr two similar triangles are equal, prove that they are congruent. Lettherefore. Find the ratio of the areas of. Let be x. Q6 Proves that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Q7 Prove that the area of an equilateral triangle described on matus side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. Both the triangles are equilateral triangles with each angle of. All angles of the triangle are.

Conclusion:

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Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides. In the given figure, two chords Ab and CD of a circle intersect each other at the point P when produced outside the circle.

Nazima is fly fishing in a stream. The trip of her fishing rod is 1. Assuming that her string from the trip of the rod to the fly is that, how much string does she have out see the figure? If she pills in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds? Two figures having the same shape but not necessarily the same size are called similar figures Two figures having the same shape as well as same size are called congruent figures Note that all congruent figures are similar but the similar figures need not be congruent.

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 or proportion. Two triangles are similar if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion Note : If the corresponding angles of two triangles are equal, then they are known as equiangular triangles.

The ratio of any two corresponding sides in two equiangular triangles is always the same. Basic Proportionality Theorem If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then other two sides are divided in the same ratio.

Converse of BPT If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side,. Formulae Handbook for Class 10 Maths and Science. Solution: Ex 6. Solution: Triangles Class 10 Ex 6. Recall that your have proved it in class IX Solution: Ex 6.

Recall that your have done it in class IX Solution: Ex 6. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form : Solution: Ex 6. Prove that: Solution: Ex 6. Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 c 81 : 16 d 16 : 81 Triangles Class 10 Ex 6. CD Solution: Ex 6. This platform is being maintained to discuss the doubts of all students with experts and teachers.

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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. Historical Facts! Pythagoras theorem is famous because of its wide range of applications.

Thales of Miletus � BC, Greece was the first known philosopher and mathematician. He is credited with the first use of deductive reasoning in geometry. Coordinate Geometry Class 10 has total of four exercises consists of 33 Problems. The Questions related to finding the distance between two points using their coordinates, Area of Triangle, Line divided in Ratio Section Formula are important models in class 10 boards.

Introduction to Trigonometry Class 10 has total of four exercises consists of 27 Problems. The questions based on trigonometric ratios of specific angles, trigonometric identities and trigonometric ratios of complementary angles are the main topics you will learn in this chapter. Some Applications of Trigonometry Class 10 has one exercise consists of 16 Problems.

In this chapter, you will be studying about real life applications of trigonometry and questions are based on the practical applications of trigonometry. Circle Class 10 has total of two exercises consists of 17 Problems.

Understand concepts such as tangent, secant, number tangents from a point to a circle and more. Constructions Class 10 has total of four exercises consists of 14 Problems. The Questions are based on drawing tangents and draw similar triangles are important topics. Areas Related to Circles Class 10 has Ncert Solutions For Class 10 Maths Ch 1 Ex 1.3 Kit total of three exercises consists of 35 Problems.

Surface Areas and Volumes Class 10 has total of five exercises consists of 36 Problems. The problems are based on finding areas and volumes of different solids such as cube, cuboid and cylinder, frustum, combination of solids.

Ch 10 Maths Class 10 Example 3 3ex Ncert Book Of Hindi Class 10th 2020