A triangle has a 5 inch side, and an 8 inch side. Which could be the third side length of the
a 3 inches
b. 12 inches
c. 15 inches
d. 18 inches

B) 12in

Step-by-step explanation:

In a triangle of sides a, b, c we should have all these conditions fulfilled:

a+b>c, a+c>b, b+c>a.

Now a=5in, b=8in:

13>c, 5+c>8, 8+c>5

Only c=12in satisfies all these conditions.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

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