Question

find the length of the midsegment of this trapezoid : 14 22 x =

Explanation:

Step1: Recall the midsegment formula

The formula for the midsegment \(x\) of a trapezoid is \(x=\frac{a + b}{2}\), where \(a\) and \(b\) are the lengths of the two parallel sides.

Step2: Substitute the values

Here, \(a = 14\) and \(b=22\). Substitute into the formula: \(x=\frac{14 + 22}{2}\).

Step3: Calculate the sum

First, calculate \(14+22 = 36\).

Step4: Divide by 2

Then, \(\frac{36}{2}=18\).

Answer:

\(18\)