Question

Find the area of the equilateral triangle of side 8 cm, using Heron's formula
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Answer 1

Answer:

semi perimeter = (8+8+8)/2 = 12 cm

By Heron' Formula

area = √[s(s-a)(s-b)(s-c)]

       =√[12×4×4×4]

       =16√3 cm²

As we know that, area = (1/2)×base×altitude

⇒16√3 = (1/2)×8×altitude

⇒altitude = 4√3 cm

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Answer 2

Answer:

Hey mate here is ur answer :)

I hope it makes ur concept more clear '.D

as it is said that it is equi. triangle and  of its side is 8 then

==8+8+8=24, perimeter

==24/2=12, semi perimeter or S

so, by the Heron,s formula we get √s(s-a)(s-b)(s-c)

so our a=b=c==8 first we will subtract

12-8=4                 √12×4×4×4

==2×2×2×2√3

==16×1.73=27.68

by the formula 1/2*B*Al.

we, get 1/2×8×h=27.68

==h=27.68/4=6.92

Here is your ans.

Height = 6.92

Hope it helps u

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