find the area of a rhombus in which each side is 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)²=225-144=81
Half of other diagonal =√81=9
Other diagonal =2*9=18cm
Area =product of diagonals/2
Area =24*18/2
Area =12*18
Area of rhombus =216cm²
(24/2)² + (half of other diagonal)²=15²
12²+(half of other diagonal)²=225
(Half of other diagonal)²=225-144=81
Half of other diagonal =√81=9
Other diagonal =2*9=18cm
Area =product of diagonals/2
Area =24*18/2
Area =12*18
Area of rhombus =216cm²
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