Question

what is uw?
w z+30 t 2z u
v
uw =
submit

Explanation:

Step1: Identify congruent segments

In an isosceles triangle, the perpendicular from the apex to the base bisects the base. So $WT = TU$.

Step2: Set up equation for $z$

Set the expressions equal:
$z + 30 = 2z$
Solve for $z$:
$2z - z = 30$
$z = 30$

Step3: Calculate length of $UW$

$UW = WT + TU = (z+30) + 2z$
Substitute $z=30$:
$UW = (30+30) + 2\times30 = 60 + 60$

Answer:

120