In a rhombus of side 8cm ,altitude 5cm and one of its diagonal is 10cm ,find length of another diagonal
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b = 8
h = 5
d1 = 10
Let the another diagonal be d2.
Area of rhombus = bh = 1/2 x d1 x d2
bh = 8 x 5 = 40 cm²
40 = 1/2 x d1 x d2
d1 x d2 = 40 x 2 = 80
= 10 x d2 = 80
d2 = 80 ÷ 10 = 8 cm
8 cm is the answer.
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