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NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex

Sides of triangles are given. Determine which of them are right triangles. Solution Video Solution. As we know,in a triangle, the square of one side is equal to the sum of the squares of the other two sides,then the angle opposite the first side is a right angle.

As we know if a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each. Show. As we are aware, in a right triangle, the livr of the hypotenuse is equal ncert solutions for class 10 maths ch 6 ex 6.5 live the sum of the squares of the other two sides.

As we know ,In a triangle, if square of one side is equal to the sum of the squares of the other mxths sides, then the angle opposite the first side is a right angle. We know that in an equilateral triangle perpendicular drawn from vertex to the opposite side, bisects the. As we know that, in a right triangle, the square ncert solutions for class 10 maths ch 6 ex 6.5 live the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. As we know, In a rhombusdiagonals bisect each other perpendicularly. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Find the distance of the foot of the ladder from base of the wall. How far from the base of the pole should the stake be driven so that the wire will be taut?

We have to find the distance travelled solktions aeroplanes, we need to use. In an equilateral triangle, prove that three times the square of one side is ncerh to four times the square of one of its altitudes.

Steps: c. Class 10 Maths Solutions. Book a Free Class. Exercise 6. Chapter 6 Ex. In case of a right triangle, write the length of its hypotenuse. Diagram Solution Video Solution. Ncert Class 10 Exercise 6. Related Sections. Instant doubt clearing with Cuemath Advanced Math Program.

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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. 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. In the given figure, two chords Ab and CD of a circle intersect each other at the point P when produced outside the circle. Nazima is fly fishing in a stream.

The trip of her fishing rod is 1. Assuming that her string from the trip of the rod to the fly is that, how much string does she have out see the figure? If she pills in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds? Two figures having the same shape but not necessarily the same size are called similar figures Two figures having the same shape as well as same size are called congruent figures Note that all congruent figures are similar but the similar figures need not be congruent.

Two polygons of the same number of sides are similar if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion. Two triangles are similar if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion Note : If the corresponding angles of two triangles are equal, then they are known as equiangular triangles.

The ratio of any two corresponding sides in two equiangular triangles is always the same. Basic Proportionality Theorem If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then other two sides are divided in the same ratio. Converse of BPT If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side,. Formulae Handbook for Class 10 Maths and Science.

Solution: Ex 6. Solution: Triangles Class 10 Ex 6. Recall that your have proved it in class IX Solution: Ex 6. Recall that your have done it in class IX Solution: Ex 6. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form : Solution: Ex 6. Now you can get answers to every question in Class 10 Maths Chapter 6. These PDFs can be downloaded anytime anywhere on your device or printed out, and then you can access them without an internet connection.

The first question of Ex 6. For each of them, you need to apply the Pythagoras theorem to determine if they are right-angled triangles or not. You also need to calculate the hypotenuse of the right-angle triangles.

A pictorial diagram of a triangle PQR right-angled at P is presented to you in this question of 6. This can be done by using the AAA similarity criterion and concept of Pythagoras theorem. In the 3rd question of Ncert Solutions For Class 10 Maths Ch 1 Live maths Class 10 6. If you prove the first two statements, 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 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 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 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 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 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.

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