Question

what is tu?
s
60
97
v
60
t
u
tu =

Explanation:

Step1: Use the Hypotenuse - Leg (HL) Congruence Theorem

Since \(SV = UV = 60\), \(TV\perp SU\) (right angles), and \(TV\) is common to both right - triangles \( \triangle STV\) and \( \triangle UTV\). By the HL congruence theorem, \(\triangle STV\cong\triangle UTV\).

Step2: Apply the property of congruent triangles

If \(\triangle STV\cong\triangle UTV\), then their corresponding sides are equal. So \(ST = TU\). Given \(ST = 97\).

Answer:

\(97\)