Question

what is the value of t?
p
5
s
5
r
3t
q
t+4

Explanation:

Step1: Identify congruent triangles

Since line QS is the perpendicular bisector of PR, $\triangle PQS \cong \triangle RQS$. Thus, $PQ = RQ$.

Step2: Set up equation for equal sides

$t + 4 = 3t$

Step3: Solve for t

Subtract $t$ from both sides: $4 = 2t$
Divide by 2: $t = \frac{4}{2} = 2$

Answer:

$t=2$