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Length of the crease | AMC 10A, 2018 | Problem No 13

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.

Length of the crease- AMC-10A, 2018- Problem 13

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

Suggested Book | Source | Answer

Pre College Mathematics

Source of the problem

AMC-10A, 2018 Problem-13

Try with Hints

First Hint

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?

Second Hint

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?

Third Hint

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.

Length of the crease- AMC-10A, 2018- Problem 13

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

Suggested Book | Source | Answer

Pre College Mathematics

Source of the problem

AMC-10A, 2018 Problem-13

Try with Hints

First Hint

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?

Second Hint

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?

Third Hint

As therefore we can write

Therefore the length in inches of the crease is

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