FRANK Solutions for Class 9 Maths Chapter 12 - Isosceles Triangle

Practise Frank Solutions for ICSE Class 9 Mathematics Chapter 12 Isosceles Triangle to revise the SAS criteria of triangles.  Learn to use the Angle-Side-Angle Criterion of Triangle to prove that a given triangle is an isosceles triangle. Go through the Maths solutions to grasp the ways the properties of triangle and angle can be used to use isosceles triangle-based problems.

Also, learn the steps to use the property of vertically opposite angles to provide proofs in a given problem based on an isosceles triangle. Apart for our Frank textbook solutions, review chapter concepts using our ICSE Class 9 Maths video lessons, online practice tests, and other study materials.

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Chapter 12 - Isosceles Triangle Exercise Ex. 12.1

Question 1
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 2
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 3
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 4(a)

Find the interior angles of the following triangles:

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 4(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 4(b)

Find the interior angles of the following triangles:

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 4(b)

 

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 4(c)

Find the interior angles of the following triangles:

 

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 4(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

 

Question 4(d)

Find the interior angles of the following triangles:

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 4(d)

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 5
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 6
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 7
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 8
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 8
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 9
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 10
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 10
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 11
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 11
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 12
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 13
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 13
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 14
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 14
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 15
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 15
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 16
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 16
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 17
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 17
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 18
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 18
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 19
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle
Question 20

In the given figure, D and E are points on AB and AC respectively. AE and CD intersect at P such that AP = CP. If BAE = BCD, prove that DBDE is isosceles.

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 20

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 21

In DPQR as shown, PQS = RQS and QS PR. Find the value of x and y, if PQ = 3x + 1; QR = 5y - 2; PS = x + 1 and SR = y + 2.

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 21

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 22(a)

In the given figure :

if PQS = 60o,

a. find QPR.

b. show that PQ = PS = QS = SR

Solution 22(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 23

In the give figure, if DPQR is an isosceles triangle, prove that: QSR = exterior PRT.

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 23

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Question 24

In the given figure, if DABC is an isosceles triangle and PAC = 110o, find the base angle and vertex angle of the DABC.

 

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Solution 24

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle

Frank Solutions Icse Class 9 Mathematics Chapter - Isosceles Triangle