Triangle RSV is congruent to triangle TVS.
So,
|RS|=|TV|
|SV|=|VS|
|VR|=|ST| (They are hypotenuses of the congruent triangles).
|VR|=25
|ST|=4y-2
25 = 4y - 2
4y=27
y=27/4=6.75
y=6.75
ΔRSV ≡ ΔTVS
⇒ Line ST ≡ Line RV
.
Solve y:
4y - 2 = 25
4y = 27
y = 6.75
Answer: y = 6.75
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