Question

An equilateral triangle has an area of 6.93 cm2. What is the side length of the triangle, to the nearest tenth of a centimetre?

Answer 1

Side length of the equilateral triangle is `4.0` cm.

Explanation:

In equilateral triangles, all three sides are of same length,

of `s` , area of triangle is is `a_t =sqrt(3)/4*s^2 ; a_t=6.93`

sq.cm `:. 6.93=sqrt(3)/4*s^2 or s^2= (4*6.93)/sqrt(3) ~~16.0`

`:.s ~~4.0` cm.

Side length of the equilateral triangle is `4.0` cm. [Ans]