OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12.  We Provide Step by Step Answer of Exe-12 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-10.

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

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-: Select Topics :-

Exercise-12(a)

Exercise-12(b)

Exercise-12(c)

Exercise-12(d)

Exercise-12(e)

Self Evaluation And Revision

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Exercise-12

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Similar triangles are the triangles which have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

Similar Triangles Definition:

If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures. Consider a hula hoop and wheel of a cycle, the shapes of both these objects are similar to each other as their shapes are the same.

-: Triangle :-

A triangle can be defined as a polygon which has three angles and three sides. The interior angles of a triangle sum up to 180 degrees and the exterior angles sum up to 360 degrees. Depending upon the angle and its length, a triangle can be categorized in the following types-

1. Scalene Triangle – All the three sides of the triangle are of different measure
2. Isosceles Triangle – Any two sides of the triangle are of equal length
3. Equilateral Triangle – All the three sides of a triangle are equal and each angle measures 60 degrees
4. Acute angled Triangle – All the angles are smaller than 90 degrees
5. Right angle Triangle – Anyone of the three angles is equal to 90 degrees
6. Obtuse-angled Triangle – One of the angles is greater than 90 degrees

Similarity Criteria of Triangles :

To find whether the given two triangles are similar or not, it has four criteria. They are:

• Side-Side- Side (SSS) Similarity Criterion – When the corresponding sides of any two triangles are in the same ratio, then their corresponding angles will be equal and the triangle will be considered as similar triangles.
• Angle Angle Angle (AAA) Similarity Criterion – When the corresponding angles of any two triangles are equal, then their corresponding side will be in the same ratio and the triangles are considered to be similar.
• Angle-Angle (AA) Similarity Criterion – When two angles of one triangle are respectively equal to the two angles of the other triangle, then the two triangles are considered as similar.
• Side-Angle-Side (SAS) Similarity Criterion – When one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in the same ratio (proportional), then the triangles are said to be similar.

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Exe-12(a),

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Question 1:

Draw rectangle axes ……………….. with ABCD.

(i) What do you notice ……… original rectangle ?

(ii) Are the ………. in shape ?

(iii) Write the ratio ……. term.

Question 2:

(a) What would be the effect ……….. (3x, 3y) ?

………………..

Question 3:

………………….

………………….

………………….

Question 19:

A model of a ship is made ……….. 1 : 200

(i) the length of the model is 4 m …… of the shop.

(ii) The area ……. the model.

(iii) The volume of the ……………. ship in m³

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Exe-12(b),

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Question 1:

In each question of the three triangle name the one that is different, ex not similar to the other two.

…………………..

Question 2:

Write down the ratio ………….. is the same ..

…………………

Question 3:

…………………..

………………….

…………………

Question 16:

In triangle ABC, DE  || BC

(a) If AD = 3 cm …………….

(b) If AE = 2.7 cm………….

(c) If AD = 2.6 cm ……………

(d) If AB = 6 cm, ………………

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Exe-12(c),

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Question 1:

In triangle ABC , AB = 6 cm …………….. length of AN ?

Question 2:

Draw …………….. Join OE. Prove that (i)

OE||AB

(ii) OE = 1/2 AB

Question 3:

………………..

………………….

………………….

Question 22:

Any point X inside …………. prove that PR || DF.

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Exe-12(d),

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Question 1:

In the figure, in ………… the area of the figure XYRQ.

Question 2:

The figure shows …………… Calculate :

(i) The length of AP.

……………….

Question 3:

…………………….

………………………

………………………

Question 15:

ABC is a triangle, PQ is a line segment …………….. Find BP/AB.

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Exe-12(e),

 Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Question 1:

A square with side 3 cm is drawn any ……….. of the square ?

Question 2:

A triangle …………. of the enlargement.

Question 3:

…………………

…………………

……………….

Question 11:

The dimension of the model ………….. Also, Find

(i) The floor of ……….. 50 sq. cm.

(ii) The space ………… is 90m³

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Self Evaluation And Revision

OP Malhotra Similar Triangles Class-10 S.Chand ICSE Maths Solutions Ch-12

Question 1:

In the figure ………… Calculate

(i) The length of CM.

(ii)……………

Question 2:

The scale of a map …………. find

(i) The number ………….. the map

(ii) The area in ………….. by cm2

(iii) The area on the map ……………. plot of land.

Question 3:

……………………

…………………….

…………………….

Question 23:

In the given figure PQRS is a ……… at T.

(i) Prove ……………..

*(ii) Find SP ………………

(iii) Find area of …………..

— : End of Similar Triangles OP Malhotra S Chand Solutions :–

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Return to :-   OP Malhotra S Chand Solutions for ICSE Class-10 Maths

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