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# Construct a Quadrilateral Abcd, When Ab = 3 Cm, Cd = 3 Cm, Da = 7.5 Cm, Ac = 8 Cm and Bd = 4 Cm. - Mathematics

Course
ConceptConstructing a Quadrilateral When Two Diagonals and Three Sides Are Given

#### Question

Construct a quadrilateral ABCD, when AB = 3 cm, CD = 3 cm, DA = 7.5 cm, AC = 8 cm and BD = 4 cm.

#### Solution

If we consider a triangle ABD from the given data, then
AB = 3 cm
BD = 4 cm
AD = 7.5 cm
AB + BD = 3 + 4 = 7 cm
However, we know that the sum of the lengths of two sides of a triangle is always greater than the third side.
Therefore, construction is not possible from the given data.

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. 18.2 | Q: 3 | Page no. 6
Solution Construct a Quadrilateral Abcd, When Ab = 3 Cm, Cd = 3 Cm, Da = 7.5 Cm, Ac = 8 Cm and Bd = 4 Cm. Concept: Constructing a Quadrilateral - When Two Diagonals and Three Sides Are Given.
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