Construct the following quadrilateral: Quadrilateral LIFT. LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm

Solution

A rough sketch of the quadrilateral LIFT can be drawn as follows.

NCERT Solution For Class 8 Maths Chapter 4 Image 17

(1) ∆ ITL can be constructed by using the given measurements as follows.

NCERT Solution For Class 8 Maths Chapter 4 Image 18

(2) Vertex F is 4.5 cm away from vertex L and 3 cm away from vertex I.

ConsideringL 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.

NCERT Solution For Class 8 Maths Chapter 4 Image 19

(3) Join F to T and F to I.

NCERT Solution For Class 8 Maths Chapter 4 Image 20

 

LIFT is the required quadrilateral.

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