the perimeter of rhombus is 52m . if the length of one of the diagonal is 24m . what is the area of rhombus ?
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Answered by
2
Answer:
1/2 × diagonal 1 × diagonal 2
1/2 × 24 ×24
12 ×24
288 m²
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Answered by
3
Answer:
120 sq. cm
Step-by-step explanation:
perimeter=4s
52=4s
s=52/4=13cm.
as diagonal divides rhombus into 2 triangles, we will use Heron's formula
√s(s-a)(s-b)(s-c)
s=(a+b+c)/2
a=side1,b=side2, c=side3
s=(13+13+24)/2
=50/2
=25
√s(s-a)(s-b)(s-c)
√25(25-24)(25-13)(25-13)
=√25*1*12*12
=√5²*12²
=5*12
=60
as 2 triangles are formed,
area of rhombus= 2*60
=120 sq. cm
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