Question

if $overline{sv}congoverline{uv}$ and $tu = 19$, what is $st?
st=square$

Explanation:

Step1: Identify congruent triangles

Since $\overline{SV}\cong\overline{UV}$ and $\angle SVT=\angle UVT = 90^{\circ}$ and $\overline{VT}=\overline{VT}$ (common - side), by the Hypotenuse - Leg (HL) congruence criterion in right - triangles $\triangle SVT\cong\triangle UVT$.

Step2: Use the property of congruent triangles

For congruent triangles $\triangle SVT$ and $\triangle UVT$, corresponding sides are equal. So, $ST = TU$.

Answer:

19