the length of each side of a rhombus is 8 cm and it's one angle is 60 degree then find the length of the diagonals of a rhombus
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Answer :Given : side of rhombus = 8 cm
To find : length of diagonals
Explanation
Here ,
∠A = 60°
∠C = 60°
now , in traingle AOB
using the trigonometric ratios
sin 30° =
now , OB = OD = 4 cm
diagonal BD = 4+4 = 8 cm
similarly in triangle AOB
using the trigonometric ratios
THUS ,
diagonal AC = 8√3
hence , The diagonals are 8 cm and 8√3 cm
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