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NCERT Solutions for Class 10 Maths Chapter 6 Triangles PDF Download Chapter 6 of NCERT Solutions for Class 10 Maths is the triangles and it covers a vast topic including a number of rules and theorems. Students often tend to get confused which theorem to use while solving one particular question. The solutions provided at BYJU�S are in such a way that every step while solving a problem, is explained clearly and in detail. The Solutions for Class 10 Maths NCERT are prepared . NCERT Solutions for Class 10 Maths Chapter 6 Triangles. Learning is not a tough task until and unless you do not want to learn. That�s why Toppr India�s principal tutoring company is offering free PDF download for students. NCERT Solutions for Class 10 Maths Chapter 6 Triangles all exercises including optional exercise in PDF format for High School UP Board and CBSE Board students. These solutions are useful for Board exams 10th Maths Chapter 6 Solutions are given in Hindi Medium and English medium free to download or use online.
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Fill in the blanks by using the correct word given in brackets. Give two different examples of pairs of i similar figures. State whether the following quadrilaterals are similar or not. In the given figure i and ii , DE BC. Find EC in i and AD in ii. Show that EF QR. Show that BC QR. Using B. Recall that your have proved it in class IX Solution:. Using converse of B. Recall that your have done it in class IX Solution:. State which pairs of triangles in the given figures are similar.

Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form :. Prove that: Solution:. A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

If the areas of two similar triangles are equal, prove that they are congruent. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians. Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 c 81 : 16 d 16 : Sides of triangles are given below.

Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. CD Solution:. ABC is an isosceles triangle right angled at C. ABC is an equilateral triangle of side la. Find each of its altitudes. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. A ladder 10 m long reaches a window 8 m above the ground.

A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut? An aeroplane leaves an airport and flies due north at a speed of km per hour. Area Theorem: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Pythagoras theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Visit to Discussion Forum to share your knowledge. This platform is being maintained to discuss the doubts of all students with experts and teachers. For any inconvenience, please contact us for help.

We will try to solve your difficulty as soon as possible. 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 Ch 15 Maths Class 10 Pdf Keywords 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.

He discovered many propositions in geometry. He is believed to have found the heights of the pyramids in Egypt, using shadows and principle of similar triangles. Height of pyramids can also be find using applications of trigonometry. According to Galileo Galilei, the universe cannot be read until we have learnt the language in which it is written.

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