Question

Draw a parallelogram ABCD in which AB = 8 cm AD = 5 cm and ∠ A = 60°​

Answer 1

Answer:

Since ABCD is a parallelogram

∴AB=CD=6.5 cm and

AD=BC=4.8 cm

Given ∠BAD=70

0

Steps of construction:

1) Draw AD such that AD=4.8 cm

2) Make an angle measuring 70

0

at A and cut an arc of 6.5 cm and name it as B

3) From B cut an arc of 4.8 cm and 6.5 cm from D, name it as C

4) Join AB,BC and CD

5) By measuring the diagonals AC and BD with a ruler, we get AC=9.2 cm and BD=6.6 cm

Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• Draw a parallelogram ABCD in which AB = 8 cm AD = 5 cm and ∠ A = 60°

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• AB = 8cm
• AD = 5cm
• ∠ A = 60°
• Parallelogram = ABCD

$\large\underline{ \underline{ \sf \maltese{ \: Construction:- }}}$

• Step 1 :- Draw AB = 8cm
• Step 2 :- At A , draw ∠BAX = 60°
• Step 3 :- With A as centre and radius equal to AD = 5 cm, cut off an Arc intersecting AX at D.
• Step 4 :- With B as centre and radius equal to AD = 5cm, cut of an Arc.
• Step 5 :- With D as centre and radius equal to AB = 8cm , cut off an Arc intersecting the arcdrawn in step 4 at C.
• Step 6 :- Join DC and BC to obtain the required Parallelogram

━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\underline{ \underline{ \sf \maltese{ \: Diagram:- }}}$

• Diagram is in the Attachment.

━━━━━━━━━━━━━━━━━━━━━━━━━