Question

find the radius of an equilateral triangle with perimeter 24 units

Answer 1

Radius(r) of inscribed circle= area of ∆ /half of the perimeter of the ∆. r= (√3/4×side^2)/(3×side/2) = (√3/4×24×24)/(3×24/2). r= 144√3/36 cms = 4√3 cms.

Answer 2

Answer:

Radius of an equilateral triangle with perimeter 24 units is $\frac{8}{\sqrt{3} }$

Step-by-step explanation:

Given,

Perimeter is 24

let 'a' be the length of a side in a equilateral triangle

perimeter of equatorial triangle with side 'a' =3a

so,

3a=24

a=8

so side of the triangle is 8

cir-cum radius of the equilateral triangle is $\frac{a}{\sqrt{3} }$=$\frac{8}{\sqrt{3} }$

Radius of an equilateral triangle with perimeter 24 units is $\frac{8}{\sqrt{3} }$

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