Question

what value of x will make the triangles congruent by sss?

x =

Explanation:

Step1: Apply SSS congruence condition

For triangles \(ABC\) and \(DEF\) to be congruent by SSS (Side - Side - Side), the corresponding sides must be equal. So, \(BC = EF\).
Given \(BC=(x - 4)\) and \(EF = 19\). Then the equation is \(x-4=19\).

Step2: Solve the equation for \(x\)

Add \(4\) to both sides of the equation \(x-4 = 19\). Using the addition property of equality \(x-4+4=19 + 4\).

Answer:

\(x = 23\)