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The median of a triangle bisects its side
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∙ 11y ago
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What triangle shows medians bisect the sides of a triangle?
Medians bisect the sides of ALL triangles. That is what a median is, by definition!
When you trisect a right angle you first construct what kind of triangle?
To trisect a right angle form an equilateral triangle with one vertex at the right angle and then bisect that angle of the equilateral triangle. (It is impossible to trisect a general angle using only compass and straight edge - the right angle is a specific exception.)
What is the line that cuts a triangle in half while making a 90 degree angle with that side?
It is a median line.
What are 15 facts about an equilateral triangle?
1. It has 3 sides. 2. It has 3 angles. 3. One is side a. 4. The angle opposite side a is Angle A. 5. The sceond side is side b. 6. The angle opposite side b is angle B. 7. The third side is side c. 8. The angle opposite side c is angle C. 9. All sides have equal lenght. 10. All angles have equal measures. 11. Each angle is 60 degrees. 12. The bisector of angle A will bisect side a. 13. The bisector of angle B will bisect side b. 14. The bisector of angle C will bisect side c. 15. Each bisector is perpendicular to the opposite side. 16. Each bisector creates a 30, 60, 90 right triangle.
Will drawing an angle bisector always result in two acute angles?
Not if you bisect a reflex angle.
Do the medians of a triangle bisect the internal angles?
Not always. 1. The median to the base of an isosceles triangle bisects the vertex angle. 2. When the triangle is an equilateral triangle, then the medians bisect the interior angles of the triangle.
Is median is a angle bisector?
A median is a line drawn from the centre of a side of a triangle to the opposite vertex. Only in two cases does it also bisect the angle :- 1) All three medians of an equilateral triangle bisect the angle of the opposite vertex. 2) One median (from the unequal side to the enclosed angle of the two equal sides) bisects the angle of the opposite vertex.
When does the median of the triangle bisect the base at 90 degree?
in an isosceles triangle
What triangle shows medians bisect the sides of a triangle?
Medians bisect the sides of ALL triangles. That is what a median is, by definition!
Does the angle bisector in a triangle bisect the opposite side?
Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.
Does the altitude of a triangle bisect the angle it starts from?
No.No.No.No.
Is the angle bisector also the median in an equilateral triangle?
No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.
How do you bisect an obtuse angle?
In the same way that you bisect an acute triangle. Alternatively, you could extend one of the rays of the obtuse angle so that you have an acute angle. Bisect that angle and then draw a perpendicular to the bisector of the acute angle through the vertex.
In an isosceles triangle does the median to the base bisect the vertex angle?
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
Does the altitude to the base of an isosceles triangle bisect the vertex angle?
bob
What are the angle bisectiors of a triangle?
They are lines, through the vertices of a triangle, that bisect (divide into two halves) the angles of the triangle.
If you extend a ray that bisects an angle of a triangle so that it passes through the opposite side will it bisect the opposite side?
Only in an equilateral triangle will bisectors of the three angles bisect the opposite sides. In an isosceles triangle, only the bisector of the one different angle will bisect the opposite side (between the identical angles).
