Advertisements
Advertisements
Question
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm, CD = 6 cm. angle BAD = 90o and the diagonal AC = 5.5 cm.
Solution
Steps:
1. draw AB = 5cm.
2. Now draw ∠XAB such that it is 90°.
3. Taking A and B as a center and radius 2.5 cm and 5.5 cm draw arcs cut off at C.
4. Now join BC and AC.
5. Taking C as a center and radius 6 cm draw arcs at D on AX.
ABCD is the required quadrilateral.
APPEARS IN
RELATED QUESTIONS
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.
Draw a square WXYZ with side 5.2 cm.
Construct a quadrilateral ABCD, when:
AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and angle BAD = 45°.
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm CD = 6 cm, ∠BAD = 90o and diagonal BD = 5.5 cm.
Construct a quadrilateral ABCD; if:
AB = 5 cm, BC = 6.5 cm, CD =4.8 cm, ∠B = 75° and ∠C = 120°.
Construct a quadrilateral ABCD in which ; ∠A = 120°, ∠B = 60°, AB = 4 cm, BC = 4.5 cm and CD = 5 cm.
Construct a quadrilateral ABCD, such that AB = BC = CD = 4.4 cm, ∠B = 90° and ∠C = 120°.
Construct a quadrilateral ABCD in which
AB = 4.6cm, BD = 5cm, AC = 6cm, CD = 4.2cm and ∠A = 90°
Construct a quadrilateral ABCD in which
AB = 7.2cm, BC = 5.8cm, CD = 6.3cm, AD = 4.3cm and ∠A = 75°
Construct a quadrilateral ABCD in which
AB = 4.8cm, AC = 5.8cm, AD = 3.6cm, ∠A = 105° and ∠B = 60°
