Question

The figure shows three right triangles. Triangles UVW, UZV, and ZVW are similar.

Theorem: If two triangles are similar, the corresponding sides are in proportion.
Using the given theorem, which two statements help to prove that if segment UW is x, then x2 = 13?
Segment UW × segment UZ = 4
Segment UW × segment ZW = 6
Segment UW × segment UZ = 9
Segment UW × segment ZW = 4
Segment UW × segment UZ = 6
Segment UW × segment ZW = 4
Segment UW × segment UZ = 4
Segment UW × segment ZW = 9

Answer 1

I said the last one because of the pythagorean therom.

Answer 2

Good @Qwerty90 , you are right :)

Answer 3

are you sure?

Answer 4

ohh yes its right thanks~

Answer 5

UW = sqrt(13)

Answer 6

So it can be option b or option D

Answer 7

Since triangle UVW is similar to UZV, then
UW/UV = UV/UZ
UW. UZ = (UV)^2 = 2^2 =4

Hence option D is right

Answer 8

thanks!