Question

what is the value of s?
3s
$s+56$
c
73
73
e
$s = square$
submit

Explanation:

Step1: Identify congruent triangles

Since $DF$ is perpendicular to $CE$, $CF=FE=73$, and $DF$ is common, $\triangle CFD \cong \triangle EFD$ by SAS congruence. Thus, $CD = DE$.

Step2: Set up equation for equal sides

$3s = s + 56$

Step3: Solve for $s$

Subtract $s$ from both sides:
$3s - s = 56$
$2s = 56$
Divide by 2:
$s = \frac{56}{2} = 28$

Answer:

$28$