What is the perimeter of this triangle ⬆️

36 km

Step-by-step explanation:

We can use the Pythagorean theorem to find a

a^2 +b^2 =c^2

a^2 +12^2 = 15^2

a^2 +144=225

Subtract 144 from each side

a^2 =225-144

a^2 =81

Taking the square root of each side

a = sqrt(81) = 9

Then we need to find the perimeter

a+12+15

9+12+15

36

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

add -60 to 120 which will result in : 2x+3y=180

then subtract 2x: 3y=-2x+180

lastly, divide by 2: y= -2/3x+60

hope this is the answer you're looking for: )