Construct, if possible a quadrilateral ABCD in which AB=6 cm, BC =7 cm, CD =3 cm, AD =5.5 cm and AC =11cm, Give reasons for not being able to construct, if you cannot.

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Solution

It is not possible to construct this quadrilateral
ABCD because AD+DC=5.5 cm +3 cm =8.5cm
and AC = 11 cm,
$∴ A D + D C < A C .$ But we know that in a traiangle,
Sum of two sides is always greater than its third side.

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Similar questions

Q. Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot. (Not possible, because in triangle ACD, AD + CD < AC).

Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot.

Q. Construct a quadrilateral

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with

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and diagonal

A C = 7 c m

Q. Construct the following quadrilaterals. Quadrilateral ABCD.
AB=

4.5 c m

BC=

5.5 c m

CD=

4 c m

AD=

6 c m

AC=

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Question 1
Construct the Quadrilateral ABCD where
AB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm

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Construct, if possible a quadrilateral ABCD in which AB=6 cm, BC =7 cm, CD =3 cm, AD =5.5 cm and AC =11cm, Give reasons for not being able to construct, if you cannot.

It is not possible to construct this quadrilateral ABCD because AD+DC=5.5 cm +3 cm =8.5cm and AC = 11 cm, ∴AD+DC<AC. But we know that in a traiangle, Sum of two sides is always greater than its third side.

It is not possible to construct this quadrilateral
ABCD because AD+DC=5.5 cm +3 cm =8.5cm
and AC = 11 cm,
$∴ A D + D C < A C .$ But we know that in a traiangle,
Sum of two sides is always greater than its third side.