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Maharashtra State BoardSSC (English Medium) 8th Standard

Construct the following quadrilateral of given measures. Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm. - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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Question

Construct the following quadrilateral of given measures.

Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm.

Geometric Constructions

Solution

Steps of Construction:

Step 1: Draw DE = 4.5 cm.

Step 2: With D as centre and radius 7.2 cm, draw an arc.

Step 3: With E as centre and radius 6.5 cm, draw an arc cutting the previous arc at F.

Step 4: Join EF.

Step 5: With D as centre and radius 5.5 cm, draw an arc.

Step 6: With E as centre and radius 7.8 cm, draw an arc cutting the previous arc at G.

Step 7: Join DG and GF.

Here, DEFG is the required quadrilateral.

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Constructing a Quadrilateral
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Chapter 8: Quadrilateral : Constructions and Types - Practice Set 8.1 [Page 43]

APPEARS IN

Balbharati Mathematics [English] 8 Standard Maharashtra State Board
Chapter 8 Quadrilateral : Constructions and Types
Practice Set 8.1 | Q 2 | Page 43
Balbharati Integrated 8 Standard Part 2 [English Medium] Maharashtra State Board
Chapter 3.3 Quadrilateral: Constructions and Types
Practice Set 8.1 | Q 1. (2) | Page 58
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