Answered

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the length of one base of a trapezoid is 16 cm while the length of the median is 12 cm. find the length of the other base​

Sagot :

Dexbulan1idn

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: