# RD SHARMA Solutions for Class 9 Maths Chapter 12 - Congruent Triangles

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## Chapter 12 - Congruent Triangles Exercise Ex. 12.3

Solution 1

Let ABC and DEF be two right triangles.

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Let us consider that ABC is an equilateral triangle.
So, AB = BC = AC
Now, AB = AC
C = B         (angles opposite to equal sides of a triangle are equal)

We also have
AC = BC
B = A             (angles opposite to equal sides of a triangle are equal)

So, we have
A = B = C
Now, in ΔABC
A + B + C = 180o
A + A + A = 180o
3A = 180o
A = 60o
A = B = C = 60o
Hence, in an equilateral triangle all interior angles are of 60o.

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(i) False

(ii) True

(iii) True

(iv) False

(v) True

(vi) False

(vii) False

(viii) False

(ix) True

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(i) equal

(ii) equal

(iii) equal

(iv) BC

(v) AC

(vi) equal to

(vii) EFD

Solution 7

## Chapter 12 - Congruent Triangles Exercise Ex. 12.6

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Here, 2 + 3 < 7

Hence, it is not possible because triangle can be drawn only if the sum of any two sides is greater than third side.

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(i) False

(ii) True

(iii) True

(iv) False

(v) True

(vi) True

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(i) largest

(ii) less

(iii) greater

(iv) smaller

(v) less

(vi) greater

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## Chapter 12 - Congruent Triangles Exercise 12.88

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