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Standard VIII

Mathematics

Construction of Parallelogram When Two Adjacent Sides and the Included Angles Are Given.

Construct a q...

Question

Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and Angle B = $105^{\circ}$ and Angle C = $80^{\circ}$ .

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Solution

Steps of Construction:

Draw BC = 5cm. At C draw an $80^{\circ}$ angle and let the length of this line segment be 6.5 cm. Let its end be D. CD = 6.5 cm. At B draw a $105^{\circ}$ angle and let the length of this line segment be 4 cm. Let its end be A. AB = 4cm. Join AD to complete quadrilateral ABCD.

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Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and Angle B = 105∘ and Angle C = 80∘.

Steps of Construction: Draw BC = 5cm. At C draw an 80∘ angle and let the length of this line segment be 6.5 cm. Let its end be D. CD = 6.5 cm. At B draw a 105∘ angle and let the length of this line segment be 4 cm. Let its end be A. AB = 4cm. Join AD to complete quadrilateral ABCD.

Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and Angle B = $105^{\circ}$ and Angle C = $80^{\circ}$ .