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30 Mar 2015, 12:24
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i came across a problem the other day during a practice test. it was a triangle inscribed inside a circle on a coordinate plane.
i was wondering, is there a simple way to tell if a triangle inside a circle is right?
i was wondering, is there a simple way to tell if a triangle inside a circle is right?
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30 Mar 2015, 12:34
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Hi btan219,
If you don't have data about the side lengths and/or the angles of the triangle, there's no way to know if the triangle is a right triangle or not... with one exception...
There IS one special rule about triangles inscribed in circles that is worth knowing:
IF all 3 vertices of the triangle are on the circumference of the circle AND one of the sides of the triangle is the DIAMETER of the circle, then the triangle IS a right triangle.
GMAT assassins aren't born, they're made,
Rich
If you don't have data about the side lengths and/or the angles of the triangle, there's no way to know if the triangle is a right triangle or not... with one exception...
There IS one special rule about triangles inscribed in circles that is worth knowing:
IF all 3 vertices of the triangle are on the circumference of the circle AND one of the sides of the triangle is the DIAMETER of the circle, then the triangle IS a right triangle.
GMAT assassins aren't born, they're made,
Rich
JackSparr0w
30 Mar 2015, 17:50
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If the triangle has three points ABC, and the hypotenuse is also a diameter, then the triangle is a right triangle.
