AB is a midsegment of triangle XYZ . AB = 52. Find YZ.
http://hotmath.com/hotmath_help/topics/triangle-midsegment-theorem.html
YZ=104
thats 52*2=104
To find the length of YZ, we need to use the property of a midsegment.
A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is also parallel to the third side and half its length.
In this case, AB is a midsegment, which means it connects the midpoints of two sides of triangle XYZ. Let's assume it connects the midpoints of XY and ZY, and the point where AB intersects XY is M.
Since AB is parallel to ZY, we have the following relationship:
AB / ZY = AM / MY (1)
We are given that AB = 52, so we can substitute this value into equation (1):
52 / ZY = AM / MY
Now, since AB is a midsegment, it divides the third side (XZ) into two congruent segments. So, AM is equal to MY, which means AM = MY.
Let's substitute this into the equation:
52 / ZY = AM / AM
We can simplify this to:
52 / ZY = 1
To solve for ZY, we can multiply both sides of the equation by ZY:
52 = ZY
Therefore, the length of YZ is 52 units.