The triangles below are similar. Find the value of x. The first triangle has 5 on the right and left side and 4 on the bottom. The second triangle has 9 on the right and on the left side and x is at the bottom.

A)8.2
B)7.8
C)7.2
D)6.8

7.2

since the ratio of sides is the same,

9/5 = x/4

(9/5)4 =

72 I think???

OHHHH I see thanks

Good, two ways to think about it. Steve did proportions. I did scale factor. It amounts to the same thing in he end.

Thanks so much I got it right!!!!!

:) You are welcome.

To find the value of x, we need to use the concept of similarity of triangles. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Let's compare the corresponding sides of the two triangles:

For the first triangle:
Right side = 5
Left side = 5
Bottom = 4

For the second triangle:
Right side = 9
Left side = 9
Bottom = x

Since the triangles are similar, the ratio between the corresponding sides should be equal. So, we can set up a proportion:

5/4 = 9/x

We can cross-multiply to solve for x:

5x = 4 * 9
5x = 36
x = 36/5
x ≈ 7.2

Therefore, the value of x is approximately 7.2.

So, the correct answer is C) 7.2.