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NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3

NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.

  • Triangles Class 9 Ex 7.1
  • Triangles Class 9 Ex 7.2
  • Triangles Class 9 Ex 7.3
  • Triangles Class 9 Ex 7.4
  • Triangles Class 9 Ex 7.5
Board CBSE
Textbook NCERT
Class Class 9
Subject Maths
Chapter Chapter 7
Chapter Name  Triangles
Exercise  Ex 7.3
Number of Questions Solved 5
Category NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3

Ex 7.3 Class 9 Maths Question 1.
Δ ABC and Δ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see figure). If ΔD is extended to intersect BC at P, show that
(i) ΔABD ≅ ΔACD
(ii) ΔABP ≅ ΔACP
(iii) AP bisects ∠A as well as ∠D
(iv) AP is the perpendicular bisector g of
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.1
Solution:
Given: Δ ABC and Δ DBC are two isosceles triangles having common base BC, such that AB = AC and DB = DC.
To prove : (i) Δ ABD ≅ Δ ACD
(ii) ΔABP ≅ Δ ACP
(iii) AP bisects ∠A as well as ∠D
(iv) AP is the perpendicular bisector of BC
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.2
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.3

Ex 7.3 Class 9 Maths Question 2.
AD is an altitude of an isosceles ∠ABC in which AB = AC. Show that
(i) AD bisects BC.
(ii) AD bisects ∠A.
Solution:
Given: Δ ABC is an isosceles triangle and AD⊥ BC, AB = AC.
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.4

Ex 7.3 Class 9 Maths Question 3.
Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see figure). Show that
(i) ΔABM ≅ ΔPQN
(ii)  Δ ABC ≅ ΔPQR
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.5
Solution:
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.6

Ex 7.3 Class 9 Maths Question 4.
BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles
Solution:
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.7

NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.8

Ex 7.3 Class 9 Maths Question 5.
ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C.
Solution:
NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3.9

We hope the NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3 help you. If you have any query regarding NCERT Solutions for Class 9 Maths Chapter 7 Triangles Ex 7.3, drop a comment below and we will get back to you at the earliest.

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