The height of an equilateral triangle is four square root three what is the perimeter of the equilateral triangle

24

Step-by-step explanation:

Recall that in an equilateral triangle, all the interior angles are the same, that is, all are 60°.  If we look at the lower right 60° angle, we see that the side opposite this angle is the altitude (height) of the triangle.

In this problem the height is 4√3.  What is the hypotenuse?  We need to find the hypotenuse, because 3 times the length of this hypotenuse is the perimeter of the triangle.  

Consider the sine function.  Here, sin 60° = 4√3 / hyp, or:

√3        4√3

=

    2        hyp

thus, the length of the hypotenuse is 8 and the perimeter of the triangle is 3 times that, or 24.

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2