the side of a rhombus is 10 cm and its altitude is 8 cm . find its area
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Answer:
Area = 96 cm sq
Step-by-step explanation:
let ABCD be a rombus and o be point of inter section of the diagonals
AO = 8 cm
AB = BC = CD = DA = 10 cm
In rt tringle AOB
BO ^2 = AB ^2 - AO ^2
= 10 ^2 - 8 ^2
= 100- 64
= 36
BO = 6 cm
thus ,
BD = 12 cm
and AC = 16 cm
Area of rombus = 1/2 ( 12 * 16 )
= 1/2 * 192
= 96cm sq
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