find the area of rhombus in which each side 15 cm long and one of whose diagonal is 24 cm
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By Pythagoras theorem,
(24/2)²+(half of other diagonal)²=15²
12²+(half of other diagonal)²=225
Half of other diagonal =√{225-144}
Half of other diagonal² =81
Other diagonal =2(√81) =2*9=18cm
Then area =(product of diagonals) /2
Area =18*24/2 =18*12
Area =216cm²
(24/2)²+(half of other diagonal)²=15²
12²+(half of other diagonal)²=225
Half of other diagonal =√{225-144}
Half of other diagonal² =81
Other diagonal =2(√81) =2*9=18cm
Then area =(product of diagonals) /2
Area =18*24/2 =18*12
Area =216cm²
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