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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 Ncert Solutions For Class 10 Maths Ch 6 Study Rankers Fun 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 Ncert Solutions For Class 7 Maths Chapter 2 Byjus the squares of the sides of a rhombus is equal to the sum of the squares of its Ncert Solutions For Class 10 Maths Ch 3 Zip diagonals. 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. The questions from this topic mostly ask students to prove similarity between figures by applying the theorems.
Once the students are made familiar with the concept of similarity, they are then introduced to the criteria under which two or more triangles are deemed similar. A thorough understanding of this topic will allow students to form the base for solving complex problems in higher mathematics. This section outlines and explains the criteria for the similarity of triangles. The basic criteria for two triangles to be called similar include: if their corresponding angles are equal and if the corresponding sides of the triangles are in the same ratio or proportion.
Students will be able to visualise the theorems as they are illustrated with the help of proper examples. 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 Ncert Solutions For Class 9 Maths Ch 10 Ex 10.4 list of exercise in the Maths Class 10 Chapter 6 has been provided below:.
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