What is the length of the altitude of the equilateral triangle below?
A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3
![What is the length of the altitude of the equilateral triangle below A 240 B 144 C 12 D 4 E 123 F 43 class=](https://us-static.z-dn.net/files/de7/84ee980863d427b603c65116ca4e71c5.png)
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in either of the 2 right triangles
a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )
a = [tex]\sqrt{240}[/tex] → A