A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm

Respuesta :

Answer:

24 cm

Step-by-step explanation:

Let the length of other base be x cm

Therefore, by mid segment formula of a trapezoid, we have:

[tex]23 = \frac{1}{2} (x + 22) \\ \\ 23 \times 2 = x + 22 \\ 46 = x + 22 \\ 46 - 22 = x \\ x = 24 \: cm[/tex]