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Construction of a Quadrilateral When Two Adjacent Sides and Three Angles Are Given

If 3 sides an...

Question

If 3 sides and a diagonal are provided to construct a quadrilateral, 2nd diagonal can be of any length.

True

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False

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Solution

The correct option is B
False

The 2nd diagonal will have a limit or a maximum length which it cannot exceed.

This is due to the rule that the sum of 2 sides of a triangle is always greater than the 3rd side (The diagonals of the quadrilateral will divide it into two triangles).

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Similar questions

A quadrilateral can be constructed uniquely if the length of its _______ sides and a diagonal is given.

Q. State the following statement is true or false
We can construct a quadrilateral if the measurement of four sides and one diagonal are given.

2 sides and 2 diagonals are given to construct a unique quadrilateral. How many more pieces of data needs to be provided to construct a unique quadrilateral?

___

Q. We can construct a unique quadrilateral if all the sides and a diagonal are given.

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, We can construct a quadilateral with the following requirements provided . State whether the statement is True or False .

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If 3 sides and a diagonal are provided to construct a quadrilateral, 2nd diagonal can be of any length.

The correct option is B False The 2nd diagonal will have a limit or a maximum length which it cannot exceed. This is due to the rule that the sum of 2 sides of a triangle is always greater than the 3rd side (The diagonals of the quadrilateral will divide it into two triangles).

The correct option is B
False

The 2nd diagonal will have a limit or a maximum length which it cannot exceed.

This is due to the rule that the sum of 2 sides of a triangle is always greater than the 3rd side (The diagonals of the quadrilateral will divide it into two triangles).