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Construction of a Quadrilateral When Three Sides and Two Included Angles Are Given

Using ruler a...

Question

Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = $5$ cm, BC = $2.5$ cm, CD = $6$ cm, $∠ B A D = 90^{\circ}$ and the diagonal AC = $5.5$ cm.

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Solution

$\Rightarrow A B = 5 c m, B C = 25 c m, C D = 6 c m, ∠ B A D = 90 °$
$\Rightarrow A C = 5.5 c m .$
Hence, the answer is solved.

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Similar questions

Construct quadrilateral ABCD given BC = 4.5 cm, AD = 5.5 cm, CD = 5 cm, diagonal AC = 5.5 cm and diagonal BD = 7 cm.

A B C D

A B = 5 c m, B C = 6 c m, C D = 4 c m, A D = 3 c m

A C = 5 c m .

A B C D

¯ ¯¯¯¯¯¯ ¯ A B = ¯ ¯¯¯¯¯¯ ¯ B C = ¯ ¯¯¯¯¯¯¯ ¯ C D = ¯ ¯¯¯¯¯¯¯ ¯ A D = 5

¯ ¯¯¯¯¯¯ ¯ A C = 6.5

Question 1
Construct the Quadrilateral ABCD where
AB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm

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