help with right angle problem

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kaherelzonoj

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point M is midpoint of leg AC in right triangle ABC , find the area of the triangle if the distance between M and hypothenuse AB is 4, and distance between M and the midpoint of AB is 5

TANGLE.PNG

Thanks
 
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Oops you forgot to post the labelled diagram you made along with the work you have done. Without this we have no idea where you are stuck. So please follow the forum guidelines (you did read them, correct?) and post back your diagram and work. Thanks!
 
kaherelzonoj said:
point M is midpoint of leg AC in right triangle ABC , find the area of the triangle if the distance between M and hypothenuse AB is 4, and distance between M and the midpoint of AB is 5

View attachment 17486

Thanks
Click to expand...
You didn't show the distance between M and the hypotenuse (perpendicular to the latter). Also, your drawing suggests that you are not thinking about some key facts about the figure, which would make it more accurate.

I would look for similar triangles (or use some theorems you might know that can be proved by similar triangles). You should be able to find BC quickly, and then AC.
 
Please update your triangle with information that was part of the problem. Dr Peterson stated what that was.
 
Dr.Peterson said:
You didn't show the distance between M and the hypotenuse (perpendicular to the latter). Also, your drawing suggests that you are not thinking about some key facts about the figure, which would make it more accurate.

I would look for similar triangles (or use some theorems you might know that can be proved by similar triangles). You should be able to find BC quickly, and then AC.
Click to expand...

geogebra-export.png

this is the diagram I could come up with
 
You're still missing the perpendicular from M to AB, corresponding to the statement that "the distance between M and hypotenuse AB is 4". That's where you'll get another similar triangle.
 
Dr.Peterson said:
You're still missing the perpendicular from M to AB, corresponding to the statement that "the distance between M and hypotenuse AB is 4". That's where you'll get another similar triangle.
Click to expand...
yes exactly , that's where I'm having a problem ..... I wasn't able to draw the line between M and AB
 
All you had to do is ask what perpendicular meant. Math always have new vocabulary words, so someone who speaks English well may not know what perpendicular means, especially if they never studies geometry.

We are here to help you and if you do not understand something, whether it is a math concept or an English word, then please ask. OK?
 
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