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26 Sep 2019, 10:37
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i know if the triangle has 1 side as a circle's diameter, and a 90 degrees, then i can use thale's theorem. but i'm wondering if the opposite also work
if i know a triangle inside a circle is 90%, does that mean 1 of it's sides is the diameter?
also wondering, if a triangle has it's sides ratio as 3,4,5, or 5,12,13, does that mean the triangle is 90 degrees?
if i know a triangle inside a circle is 90%, does that mean 1 of it's sides is the diameter?
also wondering, if a triangle has it's sides ratio as 3,4,5, or 5,12,13, does that mean the triangle is 90 degrees?
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26 Sep 2019, 10:48
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Yes. One of the sides will be the diameter if all the points lie on the circumference of the circle.
Yes. 3x:4x:5x or 5x:12x:13x triangles are Pythagorean triplets and are right triangles.
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Yes. 3x:4x:5x or 5x:12x:13x triangles are Pythagorean triplets and are right triangles.
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26 Sep 2019, 22:36
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cwlvc
Check this question, it is testing your query. I think it is a good one.
https://gmatclub.com/forum/a-triangle-is-inscribed-in-a-circle-a-point-is-randomly-chosen-inside-259587.html#p2365883
