Question

У рівносторонньому трикутнику висота дорівнює 8см знайти сторо​ну трикутника

Answer 1

Ответ:

16/3 ×корень3 см

Объяснение:

h=8 cм

По теореме Пифагора :

а^2=h^2+(a/2)^2

a^2=h^2+a^2/4

4a^2=4h^2+a^2

4a^2-a^2=4h^2

3a^2=4h^2

a^2=4h^2 /3

a=корень (4h^2 /3)

а=(2×h)/корень3

а=2×8 /корень3 =16/ корень3 =

=(16×корень3) /(корень3 ×корень3) =

=16/3 ×корень3 см

Answer 2

Finding the Side Length of an Equilateral Triangle

To find the side length of an equilateral triangle when the height is given, we can use the formula:

Side Length = (2 * Height) / √3

Given that the height of the equilateral triangle is 8 cm, we can substitute this value into the formula to find the side length.

Side Length = (2 * 8) / √3

Simplifying the equation:

Side Length = 16 / √3

To find the exact value of the side length, we need to rationalize the denominator (√3). Multiplying both the numerator and denominator by √3:

Side Length = (16 * √3) / (√3 * √3)

Simplifying further:

Side Length = (16 * √3) / 3

Therefore, the side length of the equilateral triangle is (16 * √3) / 3 cm.