Decide whether it is possible to construct a triangle with the given side lengths. explain your reasoning. 5cm , 7cm , 12cm

There is one theorem in triangle which states that sum of any two sides of a triangle is greater than the third side. For example, if a,b and c are three sides of a triangle, then a+b>c, b+c>a and a+c>b.

So, we will use here same concept.

Let a=5cm, b=7cm and c=12cm

a+b = 5+7 = 12cm which is equal to c.

But a+b should be greater than c.

Therefore, the triangle doesn't exist.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.