Question

If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is

A) 2√3 cm B) 4√3 cm C) 8√3 cm D) 5√3 cm

Answer 1

Step-by-step explanation:

in triangle ABC,

AB=16

BC=16

AC=16

LET THE ALTITUDE OF TRIANGLE BE AD

SO,

BD=8CM

in triangle ABD,

we use Pythagoras theorem

AD^2 +BD^2 =AB^2

AD^2 +8^2==16^2

AD^2 +64=256

AD^2=256-64

=192

AD =8√3