Exercise 6. You can also download the free PDF of Ex 6. Question 1. Sides of triangles are given. 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 7. Prove that the ncert solutions for class 10 maths ch 6 ex 6.5 free 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 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 Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free 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 Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free and 11m stand on a plane ncert solutions for class 10 maths ch 6 ex 6.5 free. 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: Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free Question 8.

Solution: Question 9. Solution: Question RD Sharma Class 12 Solutions. Watch Youtube Videos.

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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 Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free 2. Question 3. CD Solution:. Question 4. ABC 10 For Ncert Ch Solutions Ex Class Maths 6.5 Free 6 is an isosceles triangle right angled at C.Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free

Question 5. Question 6. ABC is an equilateral triangle of side la. Find each of its altitudes. Question 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 a window 8 m above Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free the ground. Question This can be done Ncert Solutions For Class 10 Maths Ch 6 Ex 6.6 Key by using the AAA similarity criterion and concept of Pythagoras theorem.

In the 3rd question of maths Class 10 6. If you prove the first two statements, Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free the third statement gets proved automatically.

Maths Class 10 Ex 6. You need to prove that it is a right-angle triangle by applying the converse of the Pythagoras theorem. You could use the Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free knowledge gained in class 10 about triangles to solve this question. Students have to find the length of each of the altitudes.

You can do Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free this by drawing a perpendicular AD from A on side BC and apply the theorem that the altitude of an equilateral triangle bisects the opposite sides. Along with this feature of an equilateral triangle, you also need to use the Pythagorean theorem to answer this question. Here you need to prove that in a rhombus the sum of the square of its sides is equal to the sum of squares of its diagonals.

This needs Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free the application of your knowledge in equilateral triangles and the Pythagoras theorem to prove this statement. Question 8 in exercise 6. Approach this problem in 6 Ch Free Solutions Ncert For Maths 6.5 Class Ex 10 a step-by-step manner, and you can easily do it. It is a practical problem involving a ladder which is put against a window, and you need to find the distance of the foot Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free of the ladder from the base of the wall. This question tests your aptitude in trigonometric derivatives, and you need to apply the Pythagoras theorem to calculate the height and distance.

You can solve this question if your core knowledge of Pythagoras Ncert For Free Ex 10 Solutions 6.5 Ch Class Maths 6 theorem is strong. It is a practical problem that is a bit tricky; hence just knowing the theorem would not suffice.

With our diagrammatic approach to the question, you should be able to understand the derivation clearly. The central idea of the 10th question is combining your knowledge of trigonometry with the Pythagoras theorem.

This is another problem that contains the application of both Pythagoras theorem and trigonometry concepts. Your ease in such problems will Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Free develop as you keep doing such problems and building your foundation in both these aspects of mathematics.