Question

Please Help Me!!!! 10 pts!!!

Answer 1

4/3

Explanation:

Answer 2

The length of the altitude of the triangle is
`4√(3)\ units`

Explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles that measures 60 degrees each

The altitude of the equilateral triangle is equal to the side NO

see the attached figure

In the right triangle LNO

Applying the Pythagoras Theorem

`LN^2=LO^2+NO^2`

`NO^2=LN^2-LO^2`

we have

`LN=8\ units`

`LO=8/2=4\ units`

substitute

`NO^2=8^2-4^2`

`NO^2=48`

`NO=√(48)\ units`

simplify

`NO=4√(3)\ units`

therefore

The length of the altitude of the triangle is
`4√(3)\ units`