Draw the triangle XYZ and include the three midpoints E, F, and G. Now draw in segment EZ. You'll note that it creates a new right triangle EYZ, where EZ is the hypotenuse. The leg YZ is given as 9. Because E is a midpoint on XY, the leg EY is half the length of XY, so EY= 6. Now just apply the Pythagorean Theorem:
EY2 + YZ2 = EZ2
Can you finish it?
Jamie S.
I am trying to find the length of YG
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02/26/21
Philip P.
tutor
EY is half of XY, so EY = 6
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02/26/21
Philip P.
tutor
To find YG, apply the triangle midpoint theorem. When you draw in YG, you get triangle EYG. EY = half of XY = 12/2 == 6. Since points E and G are midpoints, the line segment EG is half of YZ; so EG = 4.5. YG is the hypotenuse of EYG, so use the Pythagorean Theorem again.
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02/26/21
Jamie S.
But what is EY02/26/21