Question

find the area of an isosceles triangle whose equal sides are A and unequal side is b by using heron's formula ​

Answer 1

Length of sides=a,a,b

Heron's formula

=√s(s-a)(s-b)(s-c)

where s=(a+b+c)/2

Substituting values

s=(a+a+b)/2

 =(2a+b)/2

√(2a+b)(2a+b-a)(2a+b-a)(2a+b-b)

=√(2a+b)(a+b)²(2a)

=(a+b)√4a²+b

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Refer to the diagram attached below