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  • 14-04-2022
  • Mathematics
contestada

What is the length of the altitude of the equilateral triangle below?
"
81330
813
60° 90°
60"

What is the length of the altitude of the equilateral triangle below 81330 813 60 90 60 class=

Respuesta :

Аноним Аноним
  • 14-04-2022

Answer:

12

Step-by-step explanation:

By pythagoras theorem

a² + (4√3)² = (8√3)²

a² + 4²√3² = 8²√3²

a² + 16*3 = 64*3

a² + 48 = 192

a² = 192 - 48

a² = 144

a² = 12²

a = 12

Answer Link
Аноним Аноним
  • 14-04-2022

Answer:

F. 12

Step-by-step explanation:

There are two right triangles.

Hence, we can solve for the missing side using the Pythagorean Theorem using one of these triangles.

Let's take the left one.

  • a² = (8√3)² - (4√3)²
  • a² = 192 - 48
  • a = √144
  • a = 12

The length of the altitude is 12.

The correct option is : F. 12

Answer Link

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