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:

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: