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NCERT Solutions for Class 6 Maths, Free NCERT Ncert Exemplar Class 10 Maths Solutions Ch 8 King Solutions Text & Videos NCERT Solutions for Class 10 Maths Chapter 6 Triangles are provided here which is considered to be one of the most important study material for the students studying in CBSE Class Chapter 6 of NCERT Solutions for Class 10 Maths is the triangles and it covers a vast topic including a number of rules and theorems. Students often tend to get confused which theorem to use while solving one. Nov 03, �� NCERT Solutions for Class 10 Maths Chapter 6 Triangles: Areas of Similar Triangles. Students can understand the formula and learn the process for finding the surface area Ncert Exemplar Class 10 Maths Solutions Ch 3 Live of similar triangles in this section. Maths NCERT Class 10 Chapter 6 allows students to find the area of similar triangles with the utilisation of the different theorems. NCERT Exemplar Problems Solutions for Class 6, 7, 8, 9, 10, 11, 12 all subjects like Maths, Science, Physics, Chemistry, Biology Pdf free download was designed by.
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Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Solution: True Here, the corresponding two sides and the perimeters of two triangles are proportional, then the third side of both triangles will also in proportion. If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar?

Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Solution: False Because, according to SAS similarity criterion, if one angle of a triangle is equal to an angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar. Here, one angle and two sides of two triangles are equal but these sides not including equal angle, so given statement is not correct.

AP Hence proved. Find the altitude of an equilateral triangle of side 8 cm. Solution: Let ABC be an equilateral triangle of side 8 cm i.

Then, D is the mid-point of BC. Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm 2 , find the area of the larger triangle. If PN. Areas of two similar triangles are 36 cm 2 and cm 2. If the length of a side of the larger triangle is 20 cm, find the length of the corresponding side of the smaller triangle.

A 15 metres high tower casts a shadow 24 metres long at a certain time and at the same time, a telephone pole casts a shadow 16 metres long. Find the height of the telephone pole. Hence, the height of the point on the wall where the top of the ladder reaches is 8 m.

Foot of a 10 m long ladder leaning against a vertical wall is 6 m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches. The top of the ladder reached to A and distance of ladder from the base of the wall BC is 6 m. Find the lengths of the remaining sides of the triangles.

Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio. To prove : DE divides the two sides in the same ratio. Also AB PS.

Hence proved. A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Find how much distance will be saved in reaching Ncert Exemplar Class 10 Maths Solutions Ch 8 Uk city B from city A after the construction of the highway. A vertical pole 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.

If the areas of two similar triangles are equal, prove that they 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 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 : 3 b 4 : 9 c 81 : 16 d 16 : Sides of triangles are given below. 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 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 Ncert Exemplar Class 10 Maths Solutions Ch 8 Ans 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.

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