How Cheenta works to ensure student success?

Explore the Back-StoryTry this beautiful Problem on Geometry based on Right-angled triangle from AMC 10 A, 2018. You may use sequential hints to solve the problem.

Right triangle has leg lengths and . Including and , how many line segments with integer length can be drawn from vertex to a point on hypotenuse

,

Geometry

Triangle

Pythagoras

Pre College Mathematics

AMC-10A, 2018 Problem-16

Given that is a Right-angle triangle and and . we have to find out how many line segments with integer length can be drawn from vertex to a point on hypotenuse ?

Let be the foot of the altitude from to . therefore is the shortest legth . which is between and .

Now can you finish the problem?

let us assume a line segment with on which is starts from to . So if we move this line segment the length will be decreases and the values will be look like as . similarly if we moving this line segment from to hits all the integer values from .

Now Can you finish the Problem?

Therefore numbers of total line segments will be

- https://www.cheenta.com/surface-area-of-cube-amc-10a-2007-problem-21/
- https://www.youtube.com/watch?v=OvduZbqenWU

Try this beautiful Problem on Geometry based on Right-angled triangle from AMC 10 A, 2018. You may use sequential hints to solve the problem.

Right triangle has leg lengths and . Including and , how many line segments with integer length can be drawn from vertex to a point on hypotenuse

,

Geometry

Triangle

Pythagoras

Pre College Mathematics

AMC-10A, 2018 Problem-16

Given that is a Right-angle triangle and and . we have to find out how many line segments with integer length can be drawn from vertex to a point on hypotenuse ?

Let be the foot of the altitude from to . therefore is the shortest legth . which is between and .

Now can you finish the problem?

let us assume a line segment with on which is starts from to . So if we move this line segment the length will be decreases and the values will be look like as . similarly if we moving this line segment from to hits all the integer values from .

Now Can you finish the Problem?

Therefore numbers of total line segments will be

- https://www.cheenta.com/surface-area-of-cube-amc-10a-2007-problem-21/
- https://www.youtube.com/watch?v=OvduZbqenWU

Cheenta is a knowledge partner of Aditya Birla Education Academy

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.

JOIN TRIALAcademic Programs

Free Resources

Why Cheenta?