Geometry Problem 1544 Challenge: Calculate the Area of a Triangle with Given Arc and Semicircle Intersections

Geometry Problem 1544. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Get the full picture! Click below to uncover the details.

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc

Geometry Problem 1543. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Get the full picture! Click below to uncover the details.

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Geometry Problem 1469: Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1427: Circle inscribed in a square, Arc, Tangent Line, Tangent Circles, Radii

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1419: Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1317: Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1305 Triangle, Circumcircle, Angle Bisector, Arc, Perpendicular, Area

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1292 Square, Circle, Right Triangle, Arc, Inradius, Radius, Incircle, Measurement

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1254: Circle, Arc, Chord, Midpoint, Cyclic Quadrilateral, Concyclic Point

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

Click the figure below to view more details of problem 1254.

Zoom

Geometry Problem 1245: Cyclic or Inscribed Quadrilateral, Circle, Arc, Midpoint, Measurement

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view more details of problem 1245.

Zoom

Geometry Problem 1137: Triangle, Circumcircle, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Zoom

Geometry Problem 1094: Tangent Circles, Tangent Chord, Radius, Sagitta of Arc

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Zoom

Geometry Problem 1086: Square, Circle, Arc, Center, Metric Relations

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Zoom

Geometry Problem 1051: Triangle, Square, Semicircle, Arc, Area

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Problem submitted by Kadir Latintas, Math teacher in Emirdag, Turkey

Click the figure below to enlarge the figure.

Zoom

Geometry Problem 947: Triangle, Circumcircle, Angle Bisector, Chord, Arc, Parallel

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to enlarge the problem 947.

Zoom

Geometry Problem 927: Semicircle, Diameter, Radius, Equal Arcs, Chord, Congruence

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 927.

Zoom

Geometry Problem 921: Right Triangle, Circumcircle, Arc, Midpoint, Tangency Point, Incircle

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

This entry contributed by Ajit Athle.
Click the figure below to see the complete problem 921.

Zoom

Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 853.

Zoom

Problem 825: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 825.

Zoom

Problem 822: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 822.

Zoom