Question

find the area of rhombus if all sides are 10 cm and one of the diagonal is 12 cm??​

Answer 1

Answer:

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Answer 2

Answer:

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