FRANK Solutions for Class 9 Maths Chapter 12 - Isosceles Triangle

Chapter 12 - Isosceles Triangle Exercise Ex. 12.1

Question 1

Find the interior angles of the following triangles:

Solution 1

Question 2

Find the interior angles of the following triangles:

Solution 2

Question 3

Find the interior angles of the following triangles:

Solution 3

Question 4

Find the interior angles of the following triangles:

Solution 4

Question 5

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.

Solution 5

Question 6

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.

Solution 6

Question 7

In the given figure :

if ∠PQS = 60^o,

a. find ∠QPR.

b. show that PQ = PS = QS = SR

Solution 7

Question 8

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

Solution 8

Question 9

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

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27