Question

The side of an equilateral triangle is 16 cm find the length of its altitude

Answer 1

Answer: 8*root3 cm  OR 13.856 cm

Step-by-step explanation:

In an equilateral triangle, the altitude is given by:

h = root3 *a/2 , where 'a' = side length

altitude = 16*root3/2 = 8 root3 cm

     = 8 * 1.732 = 13.856 cm

[h = root3*a/2 is obtained by applying Pythagoras theorem]

Answer 2

Answer:

h=13.84cm

Step-by-step explanation:

Area of Equilateral triangle=√3a²/4                  ; a=side of equilateral triangle

                                            =√3*(16)²/4

                                            =√3*4*16

Area of Equilateral triangle=64√3cm²

Also,

 Area of triangle=1/2*b*h

                           =1/2*16*h

                 64√3 =8h

                         h=64√3/8

                         h=8√3

                           =8*1.73

                          h = 13.84cm