Find the exact value for the perimeter of an equilateral triangle with an altitude of 18 cm

9514 1404 393

  36√3 cm

Step-by-step explanation:

The perimeter of an equilateral triangle is 2√3 times the height.

  P = (2√3)h

  P = (2√3)(18 cm) = 36√3 cm

A little more detail

The hypotenuse of a 30°-60°-90° triangle is 2/√3 times the longer leg. Here, the longer leg is 18 cm, so the side length of the equilateral triangle is ...

  18(2/√3) = 12√3 . . . cm

The equilateral triangle perimeter is 3 times that, or 36√3 cm.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

360/29

step-by-step explanation: