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
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4(a)
Find the interior angles of the following triangles:
Solution 4(a)
Question 4(b)
Find the interior angles of the following triangles:
Solution 4(b)
Question 4(c)
Find the interior angles of the following triangles:
Solution 4(c)
Question 4(d)
Find the interior angles of the following triangles:
Solution 4(d)
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
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
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 20
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.
Solution 21
Question 22(a)
In the given figure :
if ∠PQS = 60o,
a. find ∠QPR.
b. show that PQ = PS = QS = SR
Solution 22(a)
Question 23
In the give figure, if DPQR is an isosceles triangle, prove that: ∠QSR = exterior ∠PRT.
Solution 23
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.
Solution 24
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