Q. 234.5( 2 Votes )

# The question cons A. Both Assertion (A) and Reason (B) are true and Reason (R) is a correct explanation of Assertion (A).

B. Both Assertion (A) and Reason (B) are true but Reason (R) is not a correct explanation of Assertion (A).

C. Assertion (A) is true and Reason (R) is false.

D. Assertion (a) is false and Reason (R) is true.

Answer :

In the given question,

Let us assume the sides of the triangle be 2x, 3x and 4x

We know that,

Perimeter of triangle = Sum of all sides

36 = 2x + 3x + 4x

36 = 9x

x =

x = 4

∴ Sides of the triangle are:

2x = 2 × 4 = 8 cm

3x = 3 × 4 = 12 cm

4x = 4 × 4 = 16 cm

Let, a = 8 cm, b = 12 cm and c = 16 cm

So, s =

=

=

= 18 cm

Now, by using Heron’s formula we have:

Area of triangle =

=

=

=

= 6 × 2

= 12 cm^{2}

Also, if 2s = (a + b + c)

Where a, b and c are the sides of the triangle then:

Area = which is false as it should be:

Area =

∴ Assertion is true whereas reason is false

Hence, option (c) is correct

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