Question

If a:b:c=2:3:4 and s=18cm in triangle abc find area

Answer 1

Hey mate

here is your answer

say a=2x

b=3x

and c =4x

we know 2S = a+b+c

=>2(18) = 2x + 3x + 4x = 9x

=> x = 4

so a = 8, b=12 & c= 16

we know (area) ∆^2 = s(s–a)(s–b)(s–c)

=>∆^2 = 18(18–8)(18–12)(18–16)

∆^2= 18(10)(6)(2)

∆ ^2 =2160

∆= √2160 = 46.47

therefore area(∆) of triangle = 46.47 sq.units

HOPE THIS ANSWER HELPS YOU

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