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If one of the three interior angles is 90 degrees then it is a right triangle.

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Q: How do you determine that the triangle is a right triangle through the 3 vertices?
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Continue Learning about Geometry

How can you determine if a triangle is acute obtuse or right triangle?

If all of the angles in a triangle are acute then it is an acute triangle. If one angle is right (or 90 degrees) then it is a right triangle. If one angle is obtuse then it is an obtuse triangle.


How do you find orthocenter?

You find the orthocenter by constructing the altitudes from the vertices in a triangle. If the triangle is obtuse, the orthocenter will fall outside the triangle. If the triangle is acute, the orthocenter will fall on the inside of the triangle. If the triangle is a right triangle, the orthocenter will lie on a vertix.


Is the centroid of a triangle always the circumcenter of a triangle?

No way! An easy example is the centroid and circumcenter of a right-angle triangle. Circumcenter will be exactly on the middle of the hypotenuse which obviously cannot be the centroid. Centroid is the point where all three lines are connecting all the three vertices and the middle of the line opposite the respective vertex. Circumcenter is the center of the circle passing through all the vertices. As it is known, a right-angle triangle will always fall within a semicircle, meaning the circle center will always be on the middle of the hypotenuse.


How do you determine that the triangle formed is a right triangle?

One of its interior will be 90 degrees. also there will be a little box in the corner to show that it is a right angle.


Triangle abc has vertices a 1 2 3 b 4 0 5 and c 3 6 4 Show that abc is a right triangle?

Your question doesn't seem to make any sense but if the sides of the triangle are 3, 4 and 5 then it is a right angle triangle because it complies with Pythagoras' theorem.