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Question
Construct the following quadrilaterals.
Quadrilateral LIFT
LI = 4 cm
IF = 3 cm
TL = 2.5 cm
LF = 4.5 cm
IT = 4 cm
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Solution
A rough sketch of this quadrilateral can be drawn as follows.
1) Δ ITL can be constructed by using the given measurements as follows.
2) Vertex F is 4.5 cm away from vertex L and 3 cm away from vertex I. Therefore, while taking L and I as centres, draw arcs of 4.5 cm radius and 3 cm radius respectively, which will be intersecting each other at point F
3) Join F to T and F to I.
LIFT is the required quadrilateral.
RELATED QUESTIONS
Construct the following quadrilaterals.
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A quadrilateral can be drawn if three sides and two diagonals are given.
Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?
