Question

point h is the midpoint of side fk. for the triangles to be congruent by sss, what must be the value of x? 3x - 2 2x + 4 1 3 6 8

Explanation:

Step1: Set equal side - lengths for SSS congruence

Since the triangles are congruent by SSS (Side - Side - Side), the corresponding sides are equal. We set \(3x - 2=2x + 4\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation: \(3x-2x-2=2x - 2x+4\), which simplifies to \(x - 2=4\). Then add 2 to both sides: \(x=4 + 2\).

Answer:

\(x = 6\), so the answer is C. 6