A Circle Inscribed in an Isosceles Triangle
Classroom Resources / Problems of the Week
6th to 8th, High School, Geometry, Geometry, Geometry Library
This problem was sent to me by Ilmar Vitsut, who is a geometry teacher at Viewpoint High School in Calabasas, California. He and I solved it different ways, so I am curious how other people will do it.
Find the radius of a circle inscribed in an isosceles triangle with sides 12, 12, and 8.
The radius of the circle is 2√2.
If your answer doesn't match ours,
If any of those ideas help you, you might revise your answer, and then leave a comment that tells us what you did. If you're still stuck, leave a comment that tells us where you think you need help.
If your answer does match ours,
Revise your work if you have any ideas to add. Otherwise leave us a comment that tells us how you think you did - you might answer one or more of the questions above.