Class 10 Maths Ch 6 Ex 6.5 Gp
Exercise 6. You can also download Maths Class 10 to help you Class 10 Maths Ch 6 Ex 6.5 Gp to revise complete syllabus and score more marks in your examinations. Fill in Class 10 Maths Ch 6 Ex 6.5 Gp 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 iiDE BC. Find EC Class 10 Maths Ch 6 Ex 6.5 Gp Class 10 Maths Ch 6 Ex 6.5 Gp in i and AD in ii. Show that EF QR. Show that BC QR. Using Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp similarity criterion used by you for answering the question and also write the pairs class 10 maths ch 6 ex 6.5 gp similar triangles in the symbolic form :. Prove that: Solution:. A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time Class 10 Maths Ch 6 Ex 6.5 Gp Class 10 Maths Ch 6 Ex 6.5 Gp a tower casts a shadow 28 m long.
Find the height of the Ex 6 10 Gp Maths 6.5 Class Ch Class 10 Maths Ch 6 Ex 6.5 Gp tower. If the areas of two similar triangles are equal, prove that they Class 10 Maths Ch 6 Class 10 Maths Ch 6 Ex 6.5 Cat Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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 : Class 10 Maths Ch 6 Ex 6.5 Gp 3 b 4 : 9 c 81 : 16 d 16 : Sides of triangles are given. 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 6 Ch 10 Ex Gp Class 6.5 Maths 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp end. How class 10 maths ch 6 ex 6.5 gp from the base of the pole should the stake be driven so that the wire will Class 10 Maths Ch 6 Ex 6.5 Gp be taut?
An aeroplane leaves an airport and flies due north at a Class 10 Maths Ch 6 Ex 6.5 Gp speed of km per class 10 maths ch 6 ex 6.5 gp.Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp is equal to four times the square of one of its altitudes. Prove Class 10 Maths Ch 6 Ex 6.5 Gp Class 10 Maths Ch 6 Ex 6.5 Gp that Solution:. Class 10 maths ch 6 ex 6.5 gp that the Class 10 Maths Ch 6 Ex 6.5 Gp Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp have out see class 10 maths ch 6 ex 6.5 gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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. Basic Proportionality Class 10 Maths Ch 6 Ex 6.5 Gp Theorem If a line is drawn parallel to one side of a triangle Class 10 Maths Ch 6 Ex 6.5 Gp to intersect the other two sides in distinct points, then other two sides Class 10 Maths Ch 6 Ex 6.5 Gp are divided in the same ratio.
Converse of BPT If a line divides Class 10 Maths Ch 6 Ex 6.5 Gp 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 Class 10 Maths Ch 6 Ex 6.5 Gp 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. Prove that: Solution: Ex 6. Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 Class 10 Maths Ch 6 Ex 6.5 Gp c 81 : 16 d 16 : 81 Triangles Class 10 Ex 6.
CD Solution: Ex Class 10 Maths Ch 6 Ex 6.5 Gp 6. Prove that Solution: Ex 6. Similarity of Polygons Two polygons of the Ex 10 Gp 6 6.5 Ch Maths Class same number of sides are similar if i their corresponding angles are equal and ii their corresponding sides are in the class 10 maths ch 6 ex 6.5 gp ratio or proportion Similarity of Triangles Two triangles are Class 10 Maths Ch 6 Ex 6.5 Gp class 10 maths ch 6 ex 6.5 gp 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.
Basic Proportionality Theorem BPT and its Converse Basic Proportionality Theorem If a line is drawn parallel to one side of a Class 10 Maths Ch 6 Ex 6.5 Gp Class 10 Maths Ch 6 Ex 6.5 Gp triangle to intersect the other two sides in distinct points, then other two sides are divided in the same ratio. RD Sharma Class 12 Solutions. Class 10 maths ch 6 ex 6.5 gp Youtube Videos.
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