NCERT Solutions for Class 9 Maths chapter 7 Exercise 7.2 – Triangles
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Here we have listed Class 9 maths chapter 7 exercise 7.2 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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### Download The PDF of NCERT Solutions for Class 9 Maths chapter 7 Exercise 7.2 “Triangles”

#### All Questions of Chapter 7 Exercise 7.2

Once you complete the chapter 7 then you can revise Ex. 7.2 by solving following questions

Q1. In an isosceles triangle $\mathrm{ABC}$, with $\mathrm{AB}=\mathrm{AC}$, the bisectors of $\angle \mathrm{B}$ and $\angle \mathrm{C}$ intersect each other at $\mathrm{O}$. Join $\mathrm{A}$ to $\mathrm{O}$. Show that : (i) $\mathrm{OB}=\mathrm{OC}$ (ii) AO bisects $\angle \mathrm{A}$.

Q2. In $\triangle \mathrm{ABC}, \mathrm{AD}$ is the perpendicular bisector of $\mathrm{BC}$. Show that $\triangle \mathrm{ABC}$ is an isosceles triangle in which $\mathrm{AB}=\mathrm{AC}$.

Q3. $\mathrm{ABC}$ is an isosceles triangle in which altitudes $\mathrm{BE}$ and $\mathrm{CF}$ are drawn to equal sides $\mathrm{AC}$ and $\mathrm{AB}$ respectively. Show that these altitudes are equal.

Q4. $\mathrm{ABC}$ is a triangle in which altitudes $\mathrm{BE}$ and $\mathrm{CF}$ to sides $\mathrm{AC}$ and $\mathrm{AB}$ are equal (See figure). Show that
(i) $\Delta \mathrm{ABE} \cong \Delta \mathrm{ACF}$
(ii) $\mathrm{AB}=\mathrm{AC}$, i.e., $\mathrm{ABC}$ is an isosceles triangle.

Q5. $\mathrm{ABC}$ and $\mathrm{DBC}$ are two isosceles triangles on the same base $\mathrm{BC}$ (see figure). Show that $\angle \mathrm{ABD}=\angle \mathrm{ACD}$

Q6. $\triangle \mathrm{ABC}$ is an isosceles triangle in which $\mathrm{AB}=\mathrm{AC}$. Side $\mathrm{BA}$ is produced to D such that $\mathrm{AD}=\mathrm{AB}$ (see figure). Show that $\angle \mathrm{BCD}$ is a right angle.

Q7. $\mathrm{ABC}$ is a right angled triangle in which $\angle \mathrm{A}=90^{\circ}$ and $\mathrm{AB}=\mathrm{AC}$. Find $\angle \mathrm{B}$ and $\angle \mathrm{C}$.

Q8. Show that the angles of an equilateral triangle are $60^{\circ}$ each.

Class 9 NCERT Maths Book Chapterwise

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Complete Solutions for Class 9 chapter 7 PDF

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