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Students can understand the formula and learn the process for finding the surface area of similar triangles in this section. Students have already learnt the theorem and its proof in Class 9. In this section, students will learn how to prove this theorem by employing the concept of similarity of triangles.

The summary comprises all the topics that you have studied in the chapter. Going through the summary will allow you to recollect all that you have learnt in the chapter including the important concepts, theorems, etc. The list of exercise in the Maths Class 10 Chapter 6 has been Ncert Solutions For Class 10 Maths Ch 3 Ex 3.2 Mac provided below:. Students using these solutions to prepare for the exam benefit due to the following reasons:.

The solutions have been provided by experts making them reliable and free of errors. Students can learn and understand by using these solutions at their convenience with the help of physical copy. Students are able to get a good command over the subject which helps them to improve their scores as well. Using these solutions can yield many benefits for the students as they can refer to them if they are stuck with a problem or are having trouble gaining command over any topic.

Moreover, all the solutions have been provided in a systematic manner so that students are able to make judicious use of their time as they prepare for the exams. 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. 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.

It is written in mathematical language and the letters are triangles, circles and other geometrical figures, without which it is humanly impossible to comprehend a single word. Determine this is a right triangles.

In case of a right triangle, write the length of its hypotenuse. Sides of triangle: 7 cm, 24 cm and 25 cm. Squaring these sides, we get 49, and We know that the hypotenuses is the longest side in right angled triangle. Hence, its length is 25 cm. ABC is an isosceles triangle right angled at C. Hence, the triangle ABC is a right angled triangle.

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