Hi Alyssa Z.
A triangle with three equal interior angles is called an equiangular triangle. In an equiangular triangle, the measure of each of its interior angles is 60 ̊. An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.
Since the perimeter of a Triangle is the sum of its sides and all the sides are equal in your equiangular triangle then side 1 = side 2 = side 3
Perimeter = side 1 + side 2 + side 3
Perimeter = 3s where s is the side
Now just solve for s, then use the formula for the area of the triangle to find the area keeping in mind the sides are equal
I got 27.38 cm2 for a
I left a question above above about b
Roxanne M.
Hello Brenda, For your answer on part a was half way correct but you need to use the equiangular triangle formula A=((s^2)/4)√3. a) you have the perimeter of 22.2 witch is equal from adding 3 side of the triangle together. You need to find one side of the triangle by 22.2=side 1+side 2 +side 3 22.2=3s 7.4=s then enter into the formula A=((s^2)/4)√3. A= ((7.4^2)/4)√3 A= 13.69√3 cm^2 or 23.71 cm^2 b) You have the radius of length 6in enter in the formula A=((s^2)/4)√3 A=((6^2)/4)√3 A=9√3 then to get the area is add the sides together A=9√3+9√3+9√3 A=27√3 in^2 or 46.77in^211/11/21