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

1 Answer
Oct 22, 2017

# 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."#