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 cm2


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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
R D Sharma | Surface Area and VolumesR D Sharma | Surface Area and VolumesR D Sharma | Surface Area and Volumes39 mins
Surface Area and Volume of Right Circular ConeSurface Area and Volume of Right Circular ConeSurface Area and Volume of Right Circular Cone37 mins
Surface Area and Volume of SpheresSurface Area and Volume of SpheresSurface Area and Volume of Spheres40 mins
Surface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular Cylinders42 mins
Smart Revision | Surface Areas and Volume of SolidsSmart Revision | Surface Areas and Volume of SolidsSmart Revision | Surface Areas and Volume of Solids31 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes43 mins
RD Sharma | Surface areas and volumes of Cube & CuboidRD Sharma | Surface areas and volumes of Cube & CuboidRD Sharma | Surface areas and volumes of Cube & Cuboid33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A piece of land iRS Aggarwal & V Aggarwal - Mathematics

The question consRS Aggarwal & V Aggarwal - Mathematics

The dimensions ofNCERT Mathematics Exemplar

A hand fan is madRD Sharma - Mathematics

Find the area of NCERT Mathematics Exemplar