The altitude of an equilateral triangle is 18 inches. find the length of a side

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°.                      Sin60° = √3 / 2

 x = 18 / (√3 / 2)

                      =   18 / √3  *  2/1 =  36 / √3

              x       = 36 / √3

 Rationalize the surd = 36 / √3  * (√3 / √3 ) = 36√3 / 3

                                   x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

Step-by-step explanation:

4(2x+3)-5y

=8x+12-5y

Sum means addition: 2x+3

Term: Term could be a single number , variable, or the product of both. we have 8x, 12,-5y

Product ( multiplication): we have 4(2x+3), 2 multiplied by x(2x), 5y

Factor(part of a product : factor of 8x=8, x, 2 and 4

Factor of -5y=-5 and y

Factor of 12=2,4,6

Quotient ( it is the result obtained by dividing one quantity by another)= Not present in the expression. The expression doesn't have a division

Coefficient : is a number which is in product with variable.

Coefficient of 8x=8

Coefficient of -5y=-5

Coefficient of 12=12