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1. Find the area of a rhombus having each side equal to 20 cm and of its diagonals equal to 24 cm.                                                                            

Asked by inhindia727 10th November 2018, 10:48 AM
Answered by Expert
Answer:
According to the question,
AB = BC = CD = AD = 20 cm 
Consider, DB = 24 cm
As diagonals of rhombus bisect each other.
DO = OB = 12 cm
In triangle AOB,
AO2 + OB2 = AB2
AO2 + 122 = 202 
AO2 = 400 - 144 = 256
AO = 16 cm
Diagonal AC = 16 × 2 = 32 cm
Area of rhombus = begin mathsize 16px style 1 half cross times AC cross times BD equals fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction cross times 32 cross times 24 equals 384 space cm squared end style
Answered by Expert 12th November 2018, 11:28 AM
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Tags: rhombus area
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