Try this beautiful Problem on Geometry based on Length of the crease from AMC 10 A, 2018. You may use sequential hints to solve the problem.
A paper triangle with sides of lengths and 5 inches, as shown, is folded so that point
falls on point
. What is the length in inches of the crease?
,
Geometry
Triangle
Pythagoras
Pre College Mathematics
AMC-10A, 2018 Problem-13
Given that ABC is a right-angle triangle shape paper. Now by the problem the point move on point
. Therefore a crease will be create i.e
. noe we have to find out the length of
?
If you notice very carefully then is the perpendicular bisector of the line
. Therefore the
is Right-angle triangle. Now the side lengths of
,
,
are given. so if we can so that the
then we can find out the side length of
?
Now can you finish the problem?
In and
we have ...
( common angle)
(Right angle)
Therefore the remain angle will be equal ....
Therefore we can say that
Now Can you finish the Problem?
As
therefore we can write
Therefore the length in inches of the crease is
Try this beautiful Problem on Geometry based on Length of the crease from AMC 10 A, 2018. You may use sequential hints to solve the problem.
A paper triangle with sides of lengths and 5 inches, as shown, is folded so that point
falls on point
. What is the length in inches of the crease?
,
Geometry
Triangle
Pythagoras
Pre College Mathematics
AMC-10A, 2018 Problem-13
Given that ABC is a right-angle triangle shape paper. Now by the problem the point move on point
. Therefore a crease will be create i.e
. noe we have to find out the length of
?
If you notice very carefully then is the perpendicular bisector of the line
. Therefore the
is Right-angle triangle. Now the side lengths of
,
,
are given. so if we can so that the
then we can find out the side length of
?
Now can you finish the problem?
In and
we have ...
( common angle)
(Right angle)
Therefore the remain angle will be equal ....
Therefore we can say that
Now Can you finish the Problem?
As
therefore we can write
Therefore the length in inches of the crease is