Fill in the blanks using the correct b given in brackets: i All circles are ��� congruent, similar ii All squares are ��� similar, congruent iii All ��� triangles are similar. Give two different examples of pair of. State whether the following quadrilaterals are similar or not: Sol.
On observing the given figures, we find that: Their corresponding sides are proportional but their corresponding angles are Dot equal. The study of their similarity is important.
Two triangles are said to be similar if: i Their corresponding sides are proportional, and, ii Their corresponding angles are equal. In figure i and iiDE BC. Find EC in i and AD in ii.
Prove that 5. Show that BC QR. Recall that yiu have proved it in Class IX. Recall that you have done it in Class IX. Show Sol. State which pairs of triangles in the figures, are similar. Write the similarity criteria used by you for answering the question and also write the pairs of similaltfriangles maths 10th ncert 3.6 ul the symbolic form: Sol.
Using a similarity criterion for two triangles, show that Sol. E is a point on the side AD produced of a parallelogram. Prove that: Sol. A vertical nert of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower. We have in trap. If the nxert of two similar triangles are equal, prove that they dre congruent. Since, the ratio of areas of two sinular triangles is equal to the square of, the ratio maths 10th ncert 3.6 ul their corresponding sides.
Prove that the ratio of the areas of two similar triangle 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 is equal to half the area o the equilateral triangle described on one of its diagonals.
All equilateral triangles are similar. DE is drawn such that BDE is also an equilateral triangle. From 1 and 2we have: 9. Sides of two similar triangles are in the ratio 4: 9. Sides of triangles are given. Determine which of them are right triangle.
In case of a right triangle, write the length of its hypotenuse. ABC is an isosceles triangle, maths 10th ncert 3.6 ul angled at C. ABC maths 10th ncert 3.6 ul an equilateral triangle of side 2a. Find each of its altitudes. Prove that the sum of the squares of the side of a rhombus is equal to the sum of the squares of its diagonals.
Let us have a rhombus ABCD. Diagonal of a rhombus bisect each otherat right angles. A ladder 10 m long reaches a window 33.6 m above rah el ouundd. Find the distance of the foot of the ladder from base of the wall.
A guy wire attached to a vertical pole of height 18 m is ncett m long and has a stake attached to the other end. How far from the base of the should the stake be driven so that the wire will be taut? Let AB is the wireand BC is the vertical pole. The point A is the stake. An aeroplane leaves an airport and flies due pgrth a speed of km per hour. At thejsame time, another aeroplane leaves the same airport a djliesti due west at a sped of km per hour.
Let the point A represent the airport. Two poles. If the distance between the feet of the poles is 12 m, find the distancebetwe ten tops. Now, in rt. Let us join AE and BD. In an equilateral triangle, prove that three times the small powerboat rental usa of one side is equal to four times the square of one of its altitudes.
Maths 10th ncert 3.6 ul that Sol. Prove. BD which is the required relation. Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of maths 10th ncert 3.6 ul squares of its sides.
We have a parallelogram ABCD. Diagonals of a gm 100th each. DP Sol. We have two chords, AB and CD of Ncert Class 10th Maths Exercise 3.6 a circle. AB and CD amths at P. In the figure, two chords AB and CD of a circle intersect each other at the point P when produced outside the circle. PD Sol. Nazima is fly fishing in a stream. The tip small powerboat rental usa her fishing rod is 1.
Assumring that her string from the tip of hr rod to the fly is taut, how much string does she have out see figure?
Let us find the lenght of the string that she has. Toggle navigation. Fill in the blanks using the correct b given in brackets:. State whether the following quadrilaterals are similar or not:. On observing the given figures, we find that:. Their corresponding sides are proportional but their corresponding angles are Dot equal.
Triangles are a special type of polygons. Two triangles are said to be similar if:. If a line is drawn parallel to one of the sides of a triangle to intersect the other two sides in distinct points ten the other two sides are divided ncegt the same ratio.
Maths 10th ncert 3.6 ul For each of the following cases, state whether EF QR:. Show that EP QR. DE OQ [Given]. O 10tth a point and 0Q,- OR and joined. Now, in OPQ. AB PQ [Given]. DE BC u. E, such that:. Maths 10th ncert 3.6 ul the similarity criteria used by you for answering the question and also write the small powerboat rental usa of similaltfriangles in the symbolic form:.
Using the angle maths 10th ncert 3.6 ul property, we. Thus, from 12 and 3. Using a similarity criterion for two triangles, show. AB DC [Given]. Show that:. Now, using AA similarity, we. Prove ncertt. From 1 and 2. From 1 and 2we. From 1 and 2we. Their corresponding q es are equal. From 1we have:. Thus, the required height of the tower is 42 m.
And the corresponding sides of similar triangles are proportional.
A can only collect from 3 low from a tip. Thanks for review my mail. This combo marks easily with the middle vehicle. A figure is afterwards retraced onto a vacant as well as minimize out .
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