LM is the midsegment of trapezoid ABCD. If AB = 34 and DC = 128, what is LM?
LM = 81
To find the length of the midsegment LM in the trapezoid ABCD, we need to know that a midsegment of a trapezoid is parallel to and exactly halfway between the two bases of the trapezoid.
In this case, AB and DC represent the bases of the trapezoid. Given that AB = 34 and DC = 128, we can find the length of LM by taking the average of the lengths of the two bases.
So, we calculate the length of LM as:
LM = (AB + DC) / 2
= (34 + 128) / 2
= 162 / 2
= 81
Therefore, the length of LM is 81.
To find the length of LM, we need to remember that the midsegment of a trapezoid is the average of the lengths of its bases. In this case, the bases are AB and DC.
So, the length of LM is the average of AB and DC:
LM = (AB + DC) / 2
Substituting the given values:
LM = (34 + 128) / 2
Adding the numbers in the numerator:
LM = 162 / 2
Dividing the numerator by 2:
LM = 81
Therefore, the length of LM is 81.