mtgdwyer17
mtgdwyer17 mtgdwyer17
  • 08-12-2019
  • Mathematics
contestada

What is the length of the altitude of an equilateral
triangle whose side has length 4?

A. 2√3
B. 2
c. 4√3
D. 4

Respuesta :

PollyP52 PollyP52
  • 08-12-2019

Answer:

A. 2√3.

Step-by-step explanation:

If we drop a perpendicular line from one of the vertices to the opposite side it will form 2 right angled triangles ( 30 - 60 - 90 degrees).

The ratio of the sides of these triangles is 2:1:√3   where 2 is the hypotenuse and √3 is the altitude.

So here the hypotenuse is 4 (2*2)  so the altitude is 2*√3.

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