the area of rhombus is 960 cmsquare . if one of the diagonal is 32cm , find the other diagonal
Answers
AnSwer -:
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☆ Length of Diagonal 2 of Rhombus is 60 cm.
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Formulas required for the question.......
☆ Area of Rhombus-:
" A = 1/2 x d1 x d2"
Here
A = Area
d1 = Diagonal 1
d2 = Diagonal 2
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Explanation-:
Given ,
》 Area of Rhombus-: 960 cm²
》Length of Diagonal 1 of Rhombus-: 32 cm .
To find ,
》Length of other Diagonal of Rhombus
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Solution,
☆ Area of Rhombus-:
" A = 1/2 x d1 x d2"
Here
》A = Area = 960 cm²
》d1 = Diagonal 1 = 32 cm
》d2 = Diagonal 2 = ??
Then ,
》 ½ x 32 x d2 = 960 cm²
》16 x d2 = 960 cm²
》 d2 = 960 / 2
》 d2 = 60
Therefore,
☆ Length of Diagonal 2 of Rhombus is 60 cm.
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Verification-:
☆ Area of Rhombus-:
" A = 1/2 x d1 x d2"
Here
》A = Area = 960 cm²
》d1 = Diagonal 1 = 32 cm
》d2 = Diagonal 2 = 60 cm
Then ,
》½ x 32 x 60 = 960 cm²
》 16 x 60 = 960 cm²
》 960 cm² = 960 cm²
Therefore ,
☆ LHS = RHS
Hence verified
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