Share
Notifications

View all notifications

Construct a Quadrilateral Abcd in Which Ab = Bc = 6 Cm, Ad = Dc = 4.5 Cm and ∠B = 120°. - Mathematics

Login
Create free account


      Forgot password?
ConceptConstructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known

Question

Construct a quadrilateral ABCD in which AB = BC = 6 cm, AD = DC = 4.5 cm and ∠B = 120°.

Solution

Steps of construction: 

Step I: Draw AB = 6 cm . 

Step II: Construct ABC = 120°.

Step III : With B as the centre and radius 6 cm, cut off BC = 6 cm . 

Now, we can see that AC is about 10 . 3 cm which is greater than AD + CD = 4 . 5 + 4 . 5 = 9 cm . 

We know that sum of the lengths of two sides of triangle is always greater than the third side but here, the sum of AD and CD is less than AC . 

So, construction of the given quadrilateral is not possible .

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 18: Practical Geometry (Constructions)
Ex. 18.3 | Q: 6 | Page no. 8
Solution Construct a Quadrilateral Abcd in Which Ab = Bc = 6 Cm, Ad = Dc = 4.5 Cm and ∠B = 120°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
S
View in app×