Question

What is the length of the altitude of the equilateral triangle below?


A. 12
B. sqrt 240
C. 144
D. 12 sqrt 3
E. 4
F. 4 sqrt 3

Answer 1

You can either use pythagoras theorem.

OR u can use trigonometry.
Sin of 60 = perp. side of length A/hypotenuse of length 8 root 3 etc

Answer 2

confused

Answer 3

Ok cut that.

You know about the pythagoras theorem?

Answer 4

isnt it a^2+b^2=c^2

Answer 5

Yes. So C is hypotenuse , B and A are the legs.

so C = hypotenuse is 8 root 3 here.

so (8 root 3)^2 = (4 root 3)^2 + a^2

Answer 6

8 root 3 ^2 = 24 and 4 root of 3 ^2 = 12?