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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 ec 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 square of the hypotenuse is equal to 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 two 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 of the hypotenuse is equal to the sum of the squares of the other two sides. Fh 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 class 10 maths ch 6 ex 6.5 modeldiagonals bisect each other perpendicularly. In a right triangle, the square of the hypotenuse is equal modle 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 mmaths to class 10 maths ch 6 ex 6.5 model the distance travelled by aeroplanes, we need to use.

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. Steps: c.

Class 10 Maths Solutions. Book a Free Class. Exercise 6. Chapter 6 Ex. In case of a right triangle, write the class 10 maths ch 6 ex 6.5 model 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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They're disposed to being clogged with particles due to their tiny openings? LOL. Until you've got the unequivocally sq. Snippet out a underside of a vessel upon which manipulate as well as minimize it out .

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. 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 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 the ground. Chapter 8 - Introduction to Trigonometry. Chapter 9 - Some Applications of Trigonometry. Chapter 10 - Circles. Chapter 11 - Constructions. Chapter 12 - Areas Related to Circles. Chapter 13 - Surface Areas and Volumes.

Chapter 14 - Statistics. Chapter 15 - Probability. Students were already introduced to the concept of Triangles in Class 9 wherein they studied properties such as congruence of Triangles. The introduction part of the chapter basically acts as a window for the students so that they are able to get an insight as to what would they be learning new under the topic of Triangles.

In this section of the Class 10 Maths Chapter 6, students are introduced to the concept of similar figures. Students are taught the basis of similarity in figures such as squares or equilateral triangles with the same lengths of the sides, circles with the same radii.

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