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Please show workings.

  LM = 57

Explanation:

A median of a triangle goes from a vertex to the midpoint of the opposite side. The three medians of this triangle are these segments:

The three medians intersect at the centroid point, which is point Q.

It turns out that the centroid cuts each median such that LQ is twice as long compared to QM. We can say

LQ = 2*QM

Applying the segment addition postulate and substitution, we then get,

LQ + QM = LM

2QM + QM = LM

3QM = LM

LM = 3QM

Now let's use LQ = 38 to find QM

LQ = 2*QM

38 = 2*QM

QM = 38/2

QM = 19

This then means,

LM = 3QM

LM = 3*19

LM = 57

Segment LM is 57 units long.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

linear pair postulates