The length of a side of a triangle is 36. a line parallel to that side divides the triangle into two parts of equal area. find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.

Length of DE is : 18√2 units

Step-by-step explanation:

The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.

Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)

In ΔABE and ΔABC,

∠A = ∠A     (Common)

∠ABE = ∠ABC   (Corresponding angles)

By AA similarity, ΔABE is similar to ΔABC.

Hence by area side proportionality theorem

Hence, length of DE is 18√2 units

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

-6 is the correct option from the above given options