The area of a rhombus is equal to that of a triangle whose side and the corresponding altitude are 24 cm and 15 cm respectively. If one of the diagonals of the rhombus is 18 cm, find the other.
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area of triangle = 1/2×24×15
=12×15 = 180sq.cm
means area of rhombus = 180sq.cm
one diagonal =18cm
another diagonal let be x
so, 1/2×product of diagonals=area of rhombus
1/2×18 ×x=180
means x=180×2/18
so x=360/18
so,another diagonal =20cm
=12×15 = 180sq.cm
means area of rhombus = 180sq.cm
one diagonal =18cm
another diagonal let be x
so, 1/2×product of diagonals=area of rhombus
1/2×18 ×x=180
means x=180×2/18
so x=360/18
so,another diagonal =20cm
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Answer:
definition of area of a rhombus
a parallelogram who's all sided equal is called a a rhombus diaagonals bisect each other at right angles .
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