Properties of Triangles
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High School Geometry
High School Geometry
Math

 Name _____________________________ Date ___________________ (Key 1 - Answer ID # 0430138)
1.

If O is the circumcenter of ABC and mC = 39, find mAOB.

2.

The perpendicular bisectors of ABC meet at point G. If = 12, = 6, and = 3, find .

3.

The governor wants to build a new library for three cities X, Y, and Z. If the distance between each two cities is 12 kilometers, and the location of the new library will be in equidistance to all three cities, what is the distance between the new library and city X?

4.

The angle bisectors of ABC meet at point I, :: = 2:6:6, and the area of ABC is 84. What is the area of BCI?

5.

Medians , , and of ABC meet at G, intersects at H, and = 18. Find .

6.

In the figure, P is the incenter of ABC, the radius of the inscribed circle is 4 cm, and the perimeter of ABC is 41 cm. What is the area of ABC?

Properties of Triangles
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