construct a triangle whose area is equal to the area of the Rhombus whose sides are 6 cm and one angle of 60 degree
Answers
Given : a triangle whose area is equal to the area of the Rhombus whose sides are 6 cm and one angle of 60 degree
To Find : Construct triangle
Solution:
Area of Rhombus = a²sinα
= 6²sin(60°)
= 6 * 6 sin(60°)
= (1/2) * 12 * 6 sin(60°)
Area of Triangle = (1/2)absinα
= (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
ΔABC has same area as Rhombus whose sides are 6 cm and one angle of 60 degree
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