What value in place of the question mark makes the polynomial below a perfect square trinomial? 9x2+? x+64

When A = 48, the polynomial   a perfect square trinomial.

Step-by-step explanation:

 Given : the polynomial

We have to find the value of A that makes the polynomial a perfect square trinomial.

For a trinomial to be a perfect square trinomial when it can be written in form of a perfect square as

Consider the given polynomial

Comparing the given polynomial with the right side of the above identity,

can be written as

We have,

a = 3x , b = 8

also , 2ab = Ax

2(3x)(8) = Ax

⇒ 48 = A

Thus, When A = 48, the polynomial   a perfect square trinomial.

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130

do a bckflip awfwgawgawggw