Question

(2) Draw a rhombus of sides 6 centimetres and one angle 60°, then draw a right triangle of the same area.​

Answer 1

Draw rhombus

Step 1: Draw a line segment AB'

= 6 cm

Step 2: Draw an angle of 60° at A on AB'

Step 3: Take a length of 6 cm from A on angle drawn and mark C

Step 4: Using Compass width = 6 cm and taking C and B' as center draw two arcs intersecting at D

Step 5: Join CD and BD

Rhombus is constructed

Area of Rhombus = a²sina

= 6²sin(60°)

= 6 * 6 sin(60°)

= (1/2) *12*6 sin(60°)

Area of Triangle = (1/2)absina = (1/2)* 12 * 6 sin(60°)

Step 1: Draw a line segment AB = 12 cm

Step 2: Draw an angle of 60° using protractor at A on AB

Step 3: Take a length of 6 cm from A on angle drawn and mark as C

Step 4: Join BC

AABC has same area as Rhombus whose sides are 6 cm and one angle of

60 degree