Question

if mp=42, find MS and PS
picture-https://byuis.brainhoney.com/Resource/10035010,5D6,0/Assets/Media/Images/GEOM043_SB-5-18.jpg

Answer 1

@enya99 Check the instructions. Are we given that those segments in the triangle are medians?

Answer 2

no

Answer 3

@Directrix

Answer 4

That's a major obstacle, then.

The set-up for the diagram looks as if it is one for using a theorem about how medians intersect (in what ratio they intersect) inside a triangle.

Answer 5

I don't need to know what they are but are you given answer options? Just yes or no will do.

Answer 6

yes i am for ms its
70
63
56
84
and for ps
14
63
28
21

Answer 7

Those answers fit with the three segments inside the triangle being medians. There is a flaw in the question as that fact should have been given. Do tell your teacher.

Answer 8

Consider these two facts:

1. The medians are concurrent.

2. The medians of a triangle intersect each other in the ratio 2:1

Answer 9

1. The medians are concurrent.

This means that the 3 medians all intersect in a common point. That point (point of concurrency) is called the centroid.

And, a median is a segment drawn from any vertex of a triangle to the midpoint of the opposite side.

Answer 10

yes p is the centroid on Traingle mno

Answer 11

2. The medians of a triangle intersect each other in the ratio 2:1

In your problem, this statement means that the segment MS is broken into two segments with a ratio of lengths 2 to 1.

Or, you can say that the centroid is located at a point on each median, a point that is 2/3 down the median from the vertex of the triangle from which it was drawn.