Find y, ST and TU
Please help!

Given:

To find:

The value of  y, ST and TU.

Solution:

In triangle STV and UTV,

           (Given right angles)

           (Given)

           (Common side)

The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.

          (AAS congruence postulate)

Corresponding parts of congruent triangles are congruent. So,

             (CPCTC)

Now,

And,

Therefore, .

∞ this is your sign