what is the area, rounded to the nearest tenth of square inch, of an equilateral triangle that has a perimeter of 24 inches?
area = square inches

27.7 square inches

Step-by-step explanation:

Equilateral triangle has all equal sides...so hence..each side = 8 inches

Area of a non right angled triangle

= 1/2 × ab × sin thetawhere a and b are sides of the triangle...in which in this case a and b are both equal to 8,then theta is the angle made by the two sides a and bin which in this case its 60 degrees.

..its 60 degrees because the angles in an equilateral triangle are equal...so hence its 180÷3 = 60 degrees

then apply the formula...

Area = 1/2 × 64 × sin 60

;Area = 27.7 square inches

For this case we have that by definition, an equilateral triangle has its three equal sides. If the perimeter is 24 then each side measures:

By definition, the area of an equilateral traingulo depending on the side is given by:

Where:

a: It is the side of the triangle. In this case

So:

Rounding:

215.92 dollars is the answer

the answer is 62.8 cubic units