Answer:
Given: Trapezoid
Base 2 = 16 cm
Median = 12 cm
Find: Base 1 (Top Base)
Plan: Use the fact that a median of a trapezoid is 1/2 the sum of its bases to get an equation to help find the other base.
Let x be the length of the base to be found.
(Base 1 + Base 2)/2 = 12 or (x + 16)/2 = 12 =>
x + 16 = 24 After multiplying both sides of the equation by 2
Therefore: x = 8 cm
Double Check: (Base 1 + Base 2)/2 = (8 + 16)/ =
24/2 = 12 ✅ ✅
Answer: The other base = 12 cm
Step-by-step explanation: