If you are given a trapezoid with one base equal to 5 inches, and a midsegment equal to 7 inches, what is the length of the other base?
Your school SUBJECT is math or geometry.
let the other base be x
then (x+5)/2 = 7
x+5 = 14
x = 9
To find the length of the other base of the trapezoid, you can make use of the relationship between the midsegment and the two bases in a trapezoid.
In a trapezoid, the midsegment is the average of the two bases. So, you can use the formula:
Midsegment = (Length of Base 1 + Length of Base 2) / 2
In this case, you are given that the length of the midsegment is 7 inches and one of the bases is 5 inches. Plugging these values into the formula:
7 = (5 + Length of Base 2) / 2
To solve for the length of the other base, you can multiply both sides of the equation by 2 to eliminate the division:
14 = 5 + Length of Base 2
Next, subtract 5 from both sides of the equation:
Length of Base 2 = 14 - 5
Simplifying the equation:
Length of Base 2 = 9 inches
Therefore, the length of the other base of the trapezoid is 9 inches.