These solutions are useful for Board exams You can share your doubts and ask questions from your classmates through Tiwari Academy Discussion Forum. Complete Exercises solutions and a brief description about triangles, similarity of triangles, theorems and the facts related to this chapter are given. It will help the students to enhance their knowledge about the chapter triangles and the mathematician involved.
Similarity of geometric figures is an important concept of Euclidean geometry. Similarity in a geometric transformation of one Ch 6 Maths Class 10 Green Board Options figure into the other figure such that the measure of all linear elements of one figure are in proportion to the corresponding linear elements of the other figure. Two triangles or any 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.
All congruent figures are similar but the similar figures need not be congruent. Area Theorem: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding ch 6 maths class 10 green board option. 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 ch 6 maths class 10 green board option 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 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. It is written in mathematical language and the letters are ch 6 maths class 10 green board option, 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 ch 6 maths class 10 green board option 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 ch 6 maths class 10 green board option a right angled triangle. A ladder 10 m long reaches a window 8 m above the ground.
Find the distance of the foot of the ladder from base of the wall. Let OA is wall and AB is ladder. Chapter 7: Coordinate Geometry �.
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