find the area of rhombus if all sides are 10 cm and one of the diagonal is 12 cm??
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96cm²
Step-by-step explanation:
There are different ways of doing it, one method is as follows…..
Rhombus ABCD, AB= 10cm , So BC = 10cm , as all sides of rhombus are equal.
Diagonal AC = 12cm
So, area( tri ABC) by Heron's formula
= √{ s(s-a)(s-b)(s-c) } , s is semi perimeter & a,b,c are sides of the triangle
= s = 32/2 = 16
Area = √{16 *(16–10)(16–10)(16–12)
=> area = √(16*6*6*4)
=> area = √(2²*2²*2²*3²*2²)
=> area = 2*2*2*3*2 = 48 cm²
=> area (Rhombus ABCD) = 48*2 = 96 cm²
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