The unequal side of an isosceles triangle is 6cm and its perimeter is 30cm.Find the area of a triangle using Heron's formula.
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Step-by-step explanation:
let the other two equal sides be 2x
a=6cm
Perimeter = a+b+c
24cm = 6+2x
24-6=2x
18=2x
18/2=x
9=x
Semi perimeter= a+b+c/2
= 24/2
=12cm
By Heron's formula
Area =√S(S-a)(S-b)(S-c)
Area= √12(12-6)(12-9)(12-9)
Area= √12(6)(3)(3)
Area= √12(54)
Area= √648
Area =18√2 cm sq
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