Geometry plz

the figure shows three right triangles. triangles abd, cad, and cba are similar. theorem: if two triangles are similar, the corresponding sides are in proportion. using the given theorem, which two statements to prove that if segment bc is x, then x2 = 74?
here is the picture
a segment bc • segment dc = 49
segment bc • segment bd = 35

b segment bc • segment dc = 49
segment bc • segment bd = 25

c segment bc • segment dc = 25
segment bc • segment bd = 35

d segment bc • segment dc = 25
segment bc • segment bd = 49

Option B is true

Step-by-step explanation:

We are given that three right  triangles .Triangles ABD,CAD and CBA are similar.

When two triangles are similar then, the corresponding sidea are in equal proportion.

We have AB=5 units

AC= 7 units

BC=x

Triangles ABD is similar triangle CBA

When triangle CAD and CBA are similar

Then,

In traingle CBA, uisng pythagoras theorem

Hence, option B is true.

B- Segment BC ⋅ segment DC = 49

Segment BC ⋅ segment BD = 25

Step-by-step explanation:

I took the test and it was correct

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya