The perimeter of an equation triangle is 72cm find its area. Leave your answer in radical form 

The area of an equilateral triangle is:

cm²      

Hence, the left bottom option i.e. cm² is the correct option.

Step-by-step explanation:

We know that the perimeter of a triangle is just the sum of its three sides.

Given that the perimeter of an equilateral triangle is 72cm.

i.e. cm

Important Tip:

Let 'a' be the length of an individual side of an equilateral triangle.

The length of an individual side of an equilateral triangle will be:

          ∵ The perimeter

  cm

Thus,

The length of an individual side of an equilateral triangle: a = 24 cm

The area of an equilateral triangle can be determined using the formula

where 'a' is the length of an individual side

now substitute a = 24 cm in the formula

               ∵ 24² = 576

 cm²           ∵

Therefore, the area of an equilateral triangle is:

cm²      

Hence, the left bottom option i.e. cm² is the correct option.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a