a.
To draw:To sketch the figure of the acute
a.
Explanation of Solution
Given:
Acute triangle
Acute triangle is a triangle having all the
Drawing an acute triangle,
Now measuring the angles,
And the sum of the angle is
Now forming the median,
A median is a line segment joining the vertex to the midpoint of opposite side.
As the angle lie inside the acute triangle they must have same meeting point of median as it is shown above.
Conclusion:
Therefore, the above figure is the figure of the acute triangle and constructing the three median.
b.
To find: To show whether the altitude meet at the same point or not.
b.
Explanation of Solution
Given:
Acute triangle
Acute triangle is a triangle having all the angles less than
Drawing an acute triangle,
Now measuring the angles,
And the sum of the angle is
Now forming the median,
A median is a line segment joining the vertex to the midpoint of opposite side.
As the angle lie inside the acute triangle they must have same meeting point of median as it is shown above.
Conclusion:
Therefore, the above figure is the figure of the acute triangle and constructing the three median all the three median intersect at a single point..
c.
To find: To determine the figure of the obtuse triangle and constructing the three median and whether the median meet at the same point or not.
c.
Explanation of Solution
Given:
Obtuse triangle
Obtuse triangle is a triangle having one angle more than
Drawing an Obtuse triangle,
Now measuring the angles,
And the sum of the angle is
Now forming the median,
A median is a line segment joining the vertex to the midpoint of opposite side.
For an obtuse triangle, the medians from the two acute angles intersect only the extensions of the opposite sides.
Conclusion:
Therefore, the above figure is the figure of the obtuse triangle and all the three medians does not meet at a single point.
Chapter 10 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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