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Question 1. Question 2. Byjus class 10 maths chapter 6 inc 3. Question 4. Question 5. Question 6. Question 7. Question 8. The lengths of the diagonals of a rhombus are 24 cm and incc cm.

Calculate the length of the altitude of the rhombus. Question 9. Question Are the two triangles similar? Find whether XY BC or not. Find the height of the wall where the top of the ladder touches it. DF OC Proof. A vertical pole of length 8 m casts a shadow 6 cm long on the ground and xhapter the same time a tower casts a shadow 30 m long.

Find the height of tower. State whether the given pairs of triangles are similar or not. In case of similarity mention the criterion. CP Hence Proved. ABCD is a rhombus. The mqths of trapezium ABCD intersect each other at point o. Show that Byjus class 10 maths chapter 6 inc is a trapezium.

ABCD is a trapezium. Prove that the ratio of the areas of two similar triangles is equal to the jaths of the squares of their corresponding sides. State and prove converse of Pythagoras theorem. Proof: In rt. Solution: Byjus class 10 maths chapter 6 inc. To prove.

AD intersects BC at O. Clasw prove:. Hypotenuse of a right triangle is 25 cm and out of the remaining two sides, one is longer than the other by 5 cm. Find the lengths of the other two sides. CP Hence Proved Question To prove: Question RD Sharma Class 12 Solutions. Watch Youtube Videos.

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Class 10 Maths Exercise 3. If yet another month, units are consumed, find the bill for the month. Find the co-ordinates of vertices of triangular region formed by these lines and x-axis. Also calculate the area of this triangle. Vertices: -1, 0 , 7, 0 and 3, 3. Questions on Linear Equation from Board Papers A railway half ticket costs half the full fare and the reservation charges is same on half ticket as on full ticket.

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 Byjus Class 6 Maths Chapter 1 Inc 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. Prove that: Solution: Ex 6. Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 c 81 : 16 d 16 : 81 Triangles Class 10 Ex 6.

CD Solution: Ex 6.

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