Question

Each side of an equilateral triangle measures 8 cm. Find (i) the area
of the triangle, correct to 2 places of decimal and (ii) the height of the
triangle, correct to 2 places of decimal. (Take 3 = 1.732.)​

Answer 1

Answer

area of the equilateral triangle = root 3/4 × 8×8

6.928 cm^2

area = 1/2 × 6 × h = 6.928

1/2 × 8 × h = 6.928

h = 6.928 / 4

h = 1.732 cm

Answer 2

Step-by-step explanation:

The area of an equilateral triangle is found using the following formula

A=s^2√3/4 where s=8

A=8x8x√3/4

A=27.71cm2.

Height of the equilateral triangle = a√3/2 where a is 8

Height = 8x√3/2= 6.93