An equilateral triangle has a height of 32. Find the length of the sides of the triangle. Round to the nearest hundreth.

36.95

Step-by-step explanation:

Because its an equilateral triangle, each side is equal. We can split the equilateral into a 30-60-90 triangle. The base is x, the height is x and the hypotenuse is 2x.

32/ = 18.4752086

So the height is equal to:

x = 18.4752086

18.4752086

Since the hypotenuse is 2x, we can calculate that with:

2x

= 2(18.4752086)

= 36.9504172

The length of each side is 36.95

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!