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2 Adjacent Sides, 3 Angles

Construct Qua...

Question

Construct Quadrilateral LIFT LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm.
[3 MARKS]

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Solution

Steps : 1 Mark
Construction : 2 Marks

Steps of Constructions:

1. Construct $△ T L I$ using SSS [we know sides, LI = 4 cm, TL = 2.5 cm, IT = 4 cm] construction method.
2. With L as centre, draw an arc of radius 4.5 cm. With I as centre, draw an arc of radius 3 cm.
3. Since F lies on both the arcs, F is the point intersection of the two arcs. Mark F.
4. Join IF and TF to complete the quadrilateral LIFT.
5. LIFT is the required quadrilateral.

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Similar questions

Construct the following quadrilaterals.

(i) Quadrilateral LIFT

LI = 4 cm

IF = 3 cm

TL = 2.5 cm

LF = 4.5 cm

IT = 4 cm

(ii) Quadrilateral GOLD

OL = 7.5 cm

GL = 6 cm

GD = 6 cm

LD = 5 cm

OD = 10 cm

(iii) Rhombus BEND

BN = 5.6 cm

DE = 6.5 cm

L I F T

L I = 4 c m, I F = 3 c m, T L = 2.5 c m, L F = 4.5 c m, I T = 4 c m

Question 1
Construct the Quadrilateral LIFT where
LI=4 cm, IF = 3 cm, TL = 2.5 CM, LF = 4.5 cm , IT = 4 cm

Construct Quadrilateral LIFT LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm.
[3 MARKS]

Construct following quadrilaterals

(i) Quadrilateral $L I F T$
$L I = 4 c m$
$I F = 3 c m$
$T L = 2.5 c m$
$L F = 4.5 c m$
$I T = 4 c m$

G O L D

O L = 7.5 c m

G L = 6 c m

G D = 6 c m

L D = 5 c m

O D = 10 c m

B E N D

B N = 5.6 c m

D E = 6.5 c m

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