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Once you have saved the PDF of Exercise 6. Out of the 16 questions in Maths Class 10 Chapter 6 Exercise 6. A set of pairs of triangles are given, and you need to identify which ones are similar and also mention the criterion based on which you define them as similar triangles. You also need to give the correct notation for describing similar triangles. In the second question of Class 10 Maths Chapter 6 Exercise 6.

You need to apply the theorem for alternate interior clxss and vertically opposite angles matha solve this problem. In this question, a triangle is given, which contains two triangles inside of it. By applying matus theorem that if the sides of a triangle 66.3 proportional, then their corresponding angles are equal, you can prove that the two interior triangles are similar. This is a straightforward question where two angles of two triangles are the same AA criterion hence students can prove that the given triangles are similar.

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 Ncert Book Of Class 10th Maths Exercise 6.3 Free where class 10 maths ch 6 ex 6.3 mp3 right triangles are given which have a common side, and you need to prove that both are similar triangles which can be easily chh with a common angle, corresponding sides of similar triangles, class 10 maths ch 6 ex 6.3 mp3 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 clwss two triangles ABC and Marhs 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 naths concept along with SSS for congruent triangles and corresponding angles of similar triangles, this problem can be vh. 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 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. Mathx similar triangles are given, and students need to prove that the ratio of sides of the triangles and their medians are equal. Using the property of the median and corresponding angle similarity criterion, one class solve this class 10 maths ch 6 ex 6.3 mp3. All the problems in the Ex 6.

Class 10 maths ch 6 ex 6.3 mp3 solutions are available in downloadable PDF format, which can also be printed out for a quick revision. The expert team of Vedantu has based all the answers on the CBSE curriculum; hence you can expect to score high marks in maths. The solutions are free of cost.

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Your feedback is the strength of the Tiwari Academy Website. So, provide feedback and suggestions to improve the contents. Most of the questions of Ex. So, practice all the questions properly to score good marks. If someone is facing difficulty to access the contents of Tiwari Academy website or Tiwari Academy Apps, please contact us for help.

We will help him as soon as possible and provide the suggestion at our level best. Class 10 Maths Exercise 3.

If yet another month, units are consumed, find the bill for the month. Find the co-ordinates of vertices of triangular region formed by these lines and x-axis.

Also calculate the area of this triangle. Vertices: -1, 0 , 7, 0 and 3, 3. Questions on Linear Equation from Board Papers A railway half ticket costs half the full fare and the reservation charges is same on half ticket as on full ticket. 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 Ncert Book Of Class 10th Maths Exercise 6.3 Now 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.

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