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NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise Updated for

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 xlass 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 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 mtahs 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 mmaths figures need not be congruent. Area Theorem: The ratio of the areas of two similar triangles is equal to the square of the ratio c 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 Class 10 Maths Ch 6 Ex 6.5 And 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 matbs. 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 class 10 maths ch 6 ex 6.5 type 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 clzss applications. Thales of Miletus class 10 maths ch 6 ex 6.5 type BC, Greece was the first class 10 maths ch 6 ex 6.5 type philosopher and mathematician.

He is credited with the first use of deductive reasoning in geometry. He discovered many Ch 7 Maths Class 10 Ncert Solutions Limited 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 matths 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 class 10 maths ch 6 ex 6.5 type single word.

Determine this is a right triangles. In case of a right triangle, write the length of mxths hypotenuse. Sides of clads 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 clasx is 25 cm. ABC is an isosceles triangle right angled at C. Hence, the triangle ABC is a right angled triangle. Kaths 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 �.

Main point:

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ABC is an equilateral triangle of side la. Find each of its altitudes. Prove that the sum of the squares Class 5 Maths Chapter 3 Question Answer It 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.

At the same time, another aeroplane leaves the same airport and flies due west at a speed of km per hour. Two poles of heights 6 m and 11m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops. In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes. Prove that Solution:. 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.

A ladder 10 m long reaches a window 8 m above the ground. Question 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. At the same time, another aeroplane leaves the same airport and flies due west at a speed of km per hour.

Two poles of heights 6 m and 11m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops. In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes. CD Solution: Question 4. Solution: Question 5. Solution: Question 6. Solution: Question 7. Solution: Question 8. Solution: Question 9. Solution: Question RD Sharma Class 12 Solutions.

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