Question

In △UTV, side UT = 3, UV = 4, and TV = 6. In △XYW, XY = 16. The two triangles are similar such that ∠X = ∠U, ∠Y = ∠V, and ∠W = ∠T. what is the length of XW ?

Answer 1

Answer:

Step-by-step explanation:

Triangle UTV and XYW are equivalent triangles since

∠X = ∠U, ∠Y = ∠V,and ∠W = ∠T

Their corresponding angles are equal

and their corresponding sides too are equivalent

∴ UV ≅  XY,  UT≅  XW and  TV≅WY

But  UV = 4 and  XY = 16.

⇒ XY = (UV)²

So if UT= 3, then XW= (UT)² which is 3²

⇒XW = 9