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Isosceles.

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Q: The median to the hypotenuse of a right triangle divided the triangle into two triangles that are both what?
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What is the length of the median to the hypotenuse of a right triangle if the hypotenuse is 12 inches in length?

The median to the hypotenuse of a right triangle that is 12 inches in length is 6 inches.


What median of an isosceles triangle is the same segment in the triangle as the leg bisector hypotenuse altitude?

It is the median which divides the side which is not one of the equal sides.


What is a median median line?

It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.


How is the altitude and a median of a triangle the same?

they are the same because the triangles side is equal


Which segment always divides a triangle into two triangles of equal areas?

median


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 a median divide a triangle into two congruent triangles?

Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.


Can the median of an equilateral triangle be longer than its altitude?

For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.


How do you find the height of an isosceles triangle if its length is 12m and base 10m?

In a isosceles triangle, the altitude is also a median. If we draw the altitude, then two congruent right triangles are formed, with hypotenuse length of 12m and base length 5 m (10/2). So the length of hypotenuse, by the Pythagorean theorem is h^2 = 12^2 - 5^2 h = √(144 - 25) h = √119 h ≈ 10.9


If the median to a side of a triangle is also an altitude to that side then the triangle is isosceles How do you write this Proof?

Let the triangle be ABC and suppose the median AD is also an altitude.AD is a median, therefore BD = CDAD is an altitude, therefore angle ADB = angle ADC = 90 degreesThen, in triangles ABD and ACD,AD is common,angle ADB = angle ADCand BD = CDTherefore the two triangles are congruent (SAS).And therefore AB = AC, that is, the triangle is isosceles.


Is median and the altitude of a triangle the same?

The median is a line from a vertex to the midpoint of the opposite line and an altitude is a line from a vertex to the opposite line which is perpendicular to the line. These are NOT the same thing in most triangles. The only time they could be the same is in an equilateral triangle.


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.