Question

If in an equilateral triangle R=3^(1/2) cm Then the length of each side of the triangle is?

Answer 1

`3"cm."`

Explanation:

From Trigonometry, we know that, in `DeltaABC,`

`"Sine-Rule : "a/sinA=b/sinB=c/sinC=2R.`

Since `DeltaABC` is equilateral, we have,

`a=b=c, and, A=B=C=pi/3.`

Hence, `a=b=c=2RsinA=2*sqrt3*sin(pi/3)=2sqrt3*sqrt3/2.`

`rArr" the length of each side is "3"cm."`