Ariel completed the work below to show that a triangle with side lengths of 9, 15, and 12 does not form a right triangle. 9 squared + 15 squared = 12 squared. 81 + 225 = 144. 306 not-equals 144. Is Ariel's answer correct?

No, is wrong

Step-by-step explanation:

In a right triangle it is known that the hypotenuse is the longest side always

The Pythagorean formula allows us to check if a triangle can be formed with these measurements, we must bear in mind that 15, being the largest number, we will take as the hypotenuse

h² = l1² + l2²

15² = 9² + 12²

225 = 81 + 144

225 = 225

so a triangle with these measurements can be a rectangle

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

i dont know what you want me to answer for this but im guessing 2: 11?