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NCERT Solutions for Class 10 Maths Exercise | myCBSEguide | CBSE Papers & NCERT Solutions Ex Class 10 Maths Question 5. S and T are points on sides PR and QR of ?PQR such that ?P = ?RTS. Show that ?RPQ ~ ?RTS. Solution: Ex Class 10 Maths Question 6. In the given figure, if ?ABE ? ?ACD, show that ?ADE ~ ?ABC. Solution: Ex Class 10 Maths Question 7. NCERT Solutions for Class 10 Maths Chapter 6 Triangles are provided here which is considered to be one of the most important study material for the students studying in CBSE Class 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. Aug 20, �� Get Free NCERT Solutions for Class 10 Maths Chapter 6 Ex PDF. Triangles Class 10 Maths NCERT Solutions are extremely helpful while doing your homework Class 10 Maths Ch 6 Ex 6.3 Teachoo Facebook or while preparing for the exam. Exercise Class 10 Maths NCERT Solutions were prepared according to CBSE marking scheme and guidelines.
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This question of Class 10 Maths Exercise 6. In this question of Triangles Class, 10 Exercise 6. You will be using the concept of vertically opposite angles and common angles to solve this question.

This is again a simple question where two right triangles are given which have a common side, and you need to prove that both are similar triangles which can be easily proved with a common angle, corresponding sides of similar triangles, and alternate angle concept.

Class 10 Maths Exercise 6. In this problem, an isosceles triangle is given, and one of its sides is extended, and a perpendicular is dropped from the extended point to the opposite side of the triangle. Students need to prove that the triangle formed by extension and the triangle formed by dropping a perpendicular to the base of the original triangle are similar.

The properties of the isosceles triangle and alternate angle criterion are used to solve this problem. There are two triangles ABC and PQR in this problem, and it is given that the medians of the two triangles and the adjacent sides are proportional.

The median divides the opposite side, using this concept along with SSS for congruent triangles and corresponding angles of similar triangles, this problem can be solved. This is done using concepts of common angle, alternate angle, and corresponding angles of similar triangles rules. This question is similar to question 12 where the sides of two triangles and their median are proportional, and you need to prove that the two triangles are similar. This Ncert Book Of Class 10th Maths Exercise 6.3 Free question is solved by extending the median of both the triangles by equal length and then using rules of a parallelogram, SSS, SAS, and corresponding angles of similar triangles criterion to prove that the triangles are similar.

This is a question on a vertical pole and its shadow along with the shadow of a tower. 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. At the same time, another aeroplane leaves the same airport and flies due west at a speed of km per hour.




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