Question

find the area of an equilateral triangle if length of each of its sides is 12 CM​

Answer 1

area = 12×12×12

= 1728 cm ^2

Answer 2

Step-by-step explanation:

An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular that is, all three internal angles are also congruent to each other and are each 60°.

Lets assume a, b, c are the sudes of triangle.

a = b = c = 12 cm

Now we use the Pythagorean theorem in order to find the height of the triangle. First, split the triangle into two identical right-angled ones, which have the following dimensions:

H = 12cm   X = 6cm    Y = ?

(Where H is the hypotenuse, X is the base, Y is the height of the triangle.)

X2      +      Y2       =      H2

(6)2    +   Y2       =    (12)2

36    +    Y2        =      144

Y2    =    144   -   36

Y2      =  108  

Y    =   10.39   =  10.4

Area of a triangle is  = bh/2

Here b is 12 cm and h is the height of triangle which is 10.4

So Area is = (12 X 10.4)/2    =   62.4 cm2