Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

9-inch perimeter

a = sq. in.

3.89 inches square

Step-by-step explanation:

We are given with an equilateral triangle and we are required to find its area.

The area of an equilateral triangle is given by the formula

Where s is the side of triangle.

Also given that perimeter is 9 inches. This means sum of all equal sides is 9

or

3s=9

that is

x

s=3

Now we put the value of s from here in our formula for Area

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places