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Chapters
2: Sales Tax and Value Added Tax
3: Banking
4: Shares and Dividends
5: Linear Inequations
6: Quadratic Equations
7: Problems Based On Quadratic Equations
8: Reflection
9: Ratio and Proportion
10: Remainder And Factor Theorems
11: Matrices
12: Distance and Section Formulae
13: Equation of A Straight Line
14: Symmetry
▶ 15: Similarity
16: Loci
17: Circles
18: Constructions
19: Mensuration I
20: Mensuration II
21: Trigonometric Identities
22: Heights and Distances
23: Graphical Representations
24: Measures Of Central Tendency
25: Probability
![Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 15 - Similarity - Shaalaa.com](/images/mathematics-part-2-english-class-10-icse_6:8e44615e9b1f4106bcc105730558f05b.jpg "Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 15 - Similarity")
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Solutions for Chapter 15: Similarity
Below listed, you can find solutions for Chapter 15 of CISCE Frank for Mathematics - Part 2 [English] Class 10 ICSE.
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 15 Similarity Exercise 15.1
In Δ ABC , DE is parallel to BC and `"AD"/"DB" = 2/7` IF AC = 5 .6 , find AE.
Δ ABC ∼ Δ PQR. AD and PS are altitudes from A and P on sides BC and QR respectively. If AD : PS = 4 : 9 , find the ratio of the areas of Δ ABC and Δ PQR.
Δ ABC ~ Δ DEF. If BC = 3cm , EF=4cm and area of Δ ABC = 54 cm2 , find area of Δ DEF.
Δ ABC - Δ XYZ. If area of Δ ABC is 9cm2 and area of Δ XYZ is 16cm2 and if BC= 2.1cm, find the length of YZ.
Prove that the area of Δ BCE described on one side BC of a square ABCD is one half the area of the similar Δ ACF described on the diagonal AC.
If Δ ABC , MN || BC .
If AN : AC= 5 : 8, find ar(Δ AMN) : ar(Δ ABC)
In Δ ABC , MN || BC .
If `"AB"/"AM" = 9/4` , find `("Ar" ("trapezium MBCN"))/("Ar" . (triangle "ABC"))`
In Δ ABC , MN || BC .
If BC = 14 cm and MN = 6 cm , find `("Ar" triangle "AMN")/("Ar" . ("trapezium MBCN"))`
In Δ ABC, DE || BC; DC and EB intersects at F. if `"DE"/"BC" = 2/7` , find `("Ar" (triangle "FDE"))/("Ar" (triangle "FBC"))`
Figure shows Δ PQR in which ST || QR and SR and QT intersect each other at M. If `"PT"/"TR" = 5/3` find `("Ar" (triangle "MTS"))/("Ar" (triangle "MQR"))`
Figure shows Δ KLM , P an T on KL and KM respectively such that∠ KLM =∠ KTP.
If `"KL"/"KT" = 9/5` , find `("Ar" triangle "KLM")/("Ar" triangle "KTP")`.
In figure , DEF is a right -angled triangle with ∠ E = 90 °.FE is produced to G and GH is drawn perpendicular to DE = 8 cm , DH = 8 cm ,DH = 6 cm and HF = 4 cm , find `("Ar" triangle "DEF")/("Ar" triangle "GHF")`
In the figure , ABCD is a quadrilateral . F is a point on AD such that AF = 2.1 cm and FD = 4.9 cm . E and G are points on AC and AB respectively such that EF || CD and GE || BC . Find `("Ar" triangle "BCD")/("Ar" triangle "GEF")`
In Δ PQR, MN is drawn parallel to QR. If PM = x, MQ = (x-2), PN = (x+2) and NR = (x-1), find the value of x.
Δ ABC is similar to Δ PQR. If AB = 6cm, BC = 9cm, PQ = 9cm and PR = 10.5cm, find the lengths of AC and QR.
ABCD and PQRS are similar figures. AB= 12cm, BC=x cm, CD= 15 cm, AD= 10 cm, PQ= 8 cm, QR = 5 cm, RS = m cm and PS = n cm .Find the values of x, m and n.
AD and BC are two straight lines intersecting at 0. CD and BA are perpendirulars from Band Con AD. If AB=6cm, CD =9cm, AD =20cm and BC=25cm, find the lengths of AO, BO, CO and DO.
In MBC, DE is drawn parallel to BC. If AD: DB=2:3, DE =6cm and AE =3.6cm, find BC and AC.
D and E are points on the sides AB and AC respectively of Δ ABC such that AB=5.6cm, AD= 1.4cm, AC=7 .2cm and AE = 1.5 cm, show that DE is parallel to BC
In Δ ABC, D and E are points on the sides AB and AC respectively. If AD= 4cm, DB=4.Scm, AE=6.4cm and EC=7.2cm, find if DE is parallel to BC or not.
Δ ABC ∼ Δ PQR such that AB= 1.5 cm and PQ=2. 1 cm. Find the ratio of areas of Δ ABC and ΔPQR.
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 15 Similarity Exercise 15.2
The dimensions of a buiIding are 50 m Iong, 40m wide and 70m high. A model of the same building is made with a scale factor of 1: 500. Find the dimensions of the model.
A ship is 400m laig and 100m wide. The length of its model is 20 cm. find the surface area of the deck of the model.
A model of a ship is made with a scale factor of 1 : 500. Find
The length of the ship, if the model length is 60 cm.
A model of a ship is made with a scale factor of 1 : 500. Find
The deck area of the model, if the deck area of the ship is 1500000 m2
A model of a ship is made with a scale factor of 1 : 500. Find
The volume of the ship, if the volume of its model is 200 cm3.
An aeroplane is 30m long and its model is l5 cm long. If the total outer surface area of the model is 150 cm2 , find the cost of painting the outer surface of the aeroplane at Rs. 120 per m2, if 5O m2 is left out for windows.
The length of a river in a map is 54cm. if lcm on the map represents 12500m on land, find the length of the river.
The scale of a map is 1 : 200000. A plot of land of area 20km2 is to be represented on the map. Find:
The number of kilometres on the ground represented by lcm or the map
The scale of a map is 1 : 200000. A plot of land of area 20km2 is to be represented on the map. Find:
The area in km2 that can be represented by 1 cm2
The scale of a map is 1 : 200000. A plot of land of area 20km2 is to be represented on the map. Find
The area on the map that represents the plot of land.
The actual area of an island is 1872km2 . On a map, this area is 117 cm2. if the length of the coastline is 44cm on the map, find the length of its actual coastline.
On a map drawn to a scale of 1 : 25000, a triangular plot of a land is marked as ABC with AB= 6cm, BC = 8cm and ∠ ABC = 90° . Calculate the actual length of AB in km and the actual area of the plot in km2 .
On a map drawn to a scale of 1 : 25000, a rectangular plot of land, ABCD is measured as AB= 12 cm and BC = 16cm. calculate the diagonal distance of the plot in km and the plot area in km2 .
Solutions for 15: Similarity
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 15 - Similarity
Shaalaa.com has the CISCE Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Frank solutions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE 15 (Similarity) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Frank textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics - Part 2 [English] Class 10 ICSE chapter 15 Similarity are Similarity of Triangles, Axioms of Similarity of Triangles, Conditions for Similarity of Two Triangles: (Sas, Aa Or Aaa and Sss), Basic Proportionality Theorem with Applications, Relation Between the Areas of Two Triangles, Similarity as a Size Transformation, Direct Applications Based on the Above Including Applications to Maps and Models, Areas of Similar Triangles Are Proportional to the Squares on Corresponding Sides.
Using Frank Mathematics - Part 2 [English] Class 10 ICSE solutions Similarity exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Frank Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics - Part 2 [English] Class 10 ICSE students prefer Frank Textbook Solutions to score more in exams.
Get the free view of Chapter 15, Similarity Mathematics - Part 2 [English] Class 10 ICSE additional questions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
