The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. using this information, triangles can be constructed.

No triangles can be constructed

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

In this problem

------> is not true

therefore

No triangles can be constructed with the given side lengths

Well, technically yes. One can, but it would be a so-called "degenerate triangle".

-- The 4-cm and 5-cm sides are just exactly long enough to connect between the ends of the 9-cm side.  So they lie flat on top of it.

-- The angles at each end of the 9-cm side are both zero.

-- The angle at the vertex where the 4-cm side meets the 5-cm side is 180 degrees.

-- The sum of the angles in the triangle is 180 degrees.

-- The altitude of the triangle is zero.

-- The area of the triangle is zero.

-- When you look at the triangle, all you see is a 9-cm line segment.  The 4-cm and 5-cm line segments lie on top of it, so you don't see them.

-- You would say "There's no triangle there.".

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!