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Standard VIII

Mathematics

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

Construct a q...

Question

Construct a quadrilateral ABCD in which AB=BC=3 cm, AD=5 cm, $∠ A = 90^{\circ}$ and $∠ B = 105^{\circ}$ .

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Solution

(i) Draw a line segment AB=3 cm.

(ii) At A, draw a ray AX making an angle of $90^{\circ}$ and cut off AD=5 cm.
(iii) At B, draw another ray BY making an angle of $105^{\circ}$ and cut off BC= cm.
(iv) Join CD.
Then ABCD is the required quadrilateral.

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Construct a quadrilateral ABCD in which AB=BC=3 cm, AD=5 cm,∠A=90∘ and ∠B=105∘.

(i) Draw a line segment AB=3 cm. (ii) At A, draw a ray AX making an angle of 90∘ and cut off AD=5 cm. (iii) At B, draw another ray BY making an angle of 105∘ and cut off BC= cm. (iv) Join CD. Then ABCD is the required quadrilateral.

Construct a quadrilateral ABCD in which AB=BC=3 cm, AD=5 cm, $∠ A = 90^{\circ}$ and $∠ B = 105^{\circ}$ .

(i) Draw a line segment AB=3 cm.

(ii) At A, draw a ray AX making an angle of $90^{\circ}$ and cut off AD=5 cm.
(iii) At B, draw another ray BY making an angle of $105^{\circ}$ and cut off BC= cm.
(iv) Join CD.
Then ABCD is the required quadrilateral.