Question

Given that \(\triangle ABC\) is an obtuse triangle, it follows that: Select one: a. the three altitudes meet in the interior of \(\triangle ABC\) b. the 3 perpendicular-bisectors of the sides of \(\triangle ABC\) meet in the exterior of the triangle c. the three angle-bisectors meet in the exterior of \(\triangle ABC\) d. the three medians meet in the exterior of \(\triangle ABC\)

          Given that \(\triangle ABC\) is an obtuse triangle, it follows that:
Select one:
a. the three altitudes meet in the interior of \(\triangle ABC\)
b. the 3 perpendicular-bisectors of the sides of \(\triangle ABC\) meet in the exterior of the triangle
c. the three angle-bisectors meet in the exterior of \(\triangle ABC\)
d. the three medians meet in the exterior of \(\triangle ABC\)

Given that ABC is an obtuse triangle, it follows that:
Select one:
a. the three altitudes meet in the interior of ABC
b. the 3 perpendicular-bisectors of the sides of ABC meet in the exterior of the triangle
c. the three angle-bisectors meet in the exterior of ABC
d. the three medians meet in the exterior of ABC

Added by Victor Manuel M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Scott Mcclendon

Step 1

An obtuse triangle is a triangle that has one angle greater than 90 degrees. Now, let's consider the first statement: the three altitudes meet in the interior of AABC. The altitude of a triangle is a line segment drawn from a vertex of the triangle perpendicular Show more…

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Given that AABC is an obtuse triangle, it follows that: the three altitudes meet in the interior of AABC, the three perpendicular bisectors of the sides of AABC meet in the exterior of the triangle, the three angle bisectors meet the exterior of AABC, and the three medians meet in the interior of AABC.