Question

1. solve for x in the triangle cut by a midsegment below.

a. x = 18
b. x = 15
c. x = 6
d. x = 4
9.

Explanation:

Step1: Apply the midsegment theorem

The midsegment theorem states that the length of a midsegment in a triangle is half the length of the third side. So, \(3x - 5=\frac{1}{2}\times26\).

Step2: Solve the equation

First, simplify the right - hand side: \(\frac{1}{2}\times26 = 13\). Then the equation becomes \(3x-5 = 13\). Add 5 to both sides: \(3x=13 + 5\), so \(3x=18\). Divide both sides by 3: \(x=\frac{18}{3}\).

Answer:

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