Triangles - Key Terms

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- A line joining the midpoint of a side with the opposite vertex is called a Median.

- The point of intersection of the three medians is the Centroid.

- A perpendicular drawn from a vertex to the opposite side is called the Altitude.

- The point of intersection of the three altitudes is the Orthocentre.

- A line that bisects and also makes a right angle with the same side of the triangle is called a Perpendicular bisector.

-The three perpendicular bisectors of a triangle meet at a point called the Circumcentre.

- A circle drawn from this point with the circumradius would pass through all the vertices of the triangle.

- A line that divides the angle at one of the vertices into two equal parts is called an Angular bisector.

- The three angle bisectors of a triangle meet at a point called the Incentre of a triangle.

- The incentre is equidistant from the three sides, and a circle drawn from this point with the inradius would touch all the sides of the triangle.

    Question 1

    In a triangle XYZ, the external angle bisector of angle X and the internal bisector of angle Y meet at W. If angle XZY is 50 degrees, what is angle XWY?

    Question 2

    In triangle ABC right-angled at B, sides AB and CB are equal. If the length of the altitude from vertex B is 10 cm, what is the distance between the orthocenter and circumcenter of the triangle?

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