Ncert Solutions For Class 10 Maths Ch 6 Ex 6.6 R??,Speed Of The Boat In Upstream Machine,Lightning Sailboat Model Kit,Wooden Kitchen Countertop Diy - Review
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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,. These sums can help you to increase your knowledge regarding the mensuration and you can take up civil engineering in the higher studies. Finding the Missing Angle: In Exercise 6. Here are some basic tips to solve the sums on the triangle easily:. Learn the basic properties of triangle.
Go through the question several times and try to understand the question. Note down everything that is already given in the sum. Take the right approach to solve the sum as you have practised before. Make sure writing all the steps of the sum while you are solving it. Once you find the answer, you need to mark it properly on your paper. 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. As the students progress through this topic, they get to understand that similar figures can have the same shape but not necessarily the exact size.
The questions from this topic mostly ask students to prove similarity between figures by applying the theorems.
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