We want to find the value of a, which is the length of TU. We are given that TRSU ~ NMYZ.
Since the polygons are similar, we know that the lengths of corresponding sides are proportional.
T U/N Z=T R/N M
Knowing this proportion, we can solve for any missing side length using any three known side lengths. In this case, we know the lengths of sides TR, NM, and NZ. Therefore, we can find TU by substituting these lengths in the above proportion.
