The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus
a
68cm
b
72cm
c
80cm
d
88cm
e
92cm
Explanation
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Jubbytriple
1 year ago
since all sides of a rhombus are equal, the diagonals of the rhombus would give a right angled triangle of hyp= one of its sides, opp=30/2=15,adj=16/2=8.
therefore, hyp^2= opp^2 + adj^2
hyp^2= (15)^2 + (8)^2
= 225 + 64
=289
hyp = √289
= 17cm ( one of the sides of the rhombus)
perimeter of a rhombus = 4 × the length of its side
=4 × 17
= 68cm

