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Triangles Class 10 - 04/

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Class 10 Maths Notes. Chapter 1 - Quadratic Equation Overview Exercise 1. Chapter 3 - Variations Overview Exercise 3. Chapter 4 - Partial Fractions Overview Exercise 4. Chapter 6 - Basic Statistics Overview Exercise 6. Chapter 7 - Introduction to Trignometry Overview Exercise 7. Chapter 9 - Chords of a Circle Overview Exercise 9. Chapter 10 - Tangent to a Circle Overview Exercise If you find any mistake or any problem with the notes, please send us an email at [email protected] Advertisement.

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You can also download Maths Class 10 to help you to revise complete syllabus and score more marks in your examinations. Fill in the blanks by using the correct word given in brackets. 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 Class 10 Maths Ch 6 Ex 6.5 Model 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? Question 1. 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. Question 2. Question 3. CD Solution:. Question 4. ABC is an isosceles triangle right angled at C. Question 5. Question 6. ABC is an equilateral triangle of side la.

Find each of its altitudes. Question Ncert Solutions Class 10 Maths Ch 6 Ex 6.5 7. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. Question 8. Question 9. A ladder 10 m long reaches Class 10 Maths Ch 6 Ex 6.5 Version a window 8 m above the ground.

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