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It is isosceles.

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Angus Koepp

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Q: If is both the altitude and median of triangle ABC then triangle ABC is .?
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Related questions

If is both the altitude and median of triangle ABC then triangle ABC is?

It is isosceles.


If bd is both the altitude and median of abc then abc is?

Isosceles


Given that bd is both the median and altitude of a abc. congruence postulate sas is used to prove that abc is what type of triangle?

BAD = BCD is the answer i just did it


What is a conjecture about the following statement triangle ABC has two equal angles?

One possible conjecture is that it has one median which coincides with the corresponding altitude.


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.


What is the formula to calculate the length of median of a triangle?

m^2=(2b^2+2c^2-a^2)/4 where m is the median of triangle ABC.


If segment BD is the altitude of triangle ABC find the value of x?

4+4


Prove that the three times the sum of squares of sides of triangle is equal to four times of its median?

Let the triangle be ABC and its medians by AX and BY and CZ. Therefore, since AC=AB, and OP=BD. Therefore, By Triangle Equiangular Property, Triangle ABC simliar to Triangle XYZ Therefore, Three times the sum of the squares of sides of triangle equal to 4 times of its median.:) Hope it helped.


Triangle ABC is not a right triangle. However, you can form two right triangles by drawing an altitude, h, from point B.Which of these equations is true?

h=c sin a


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.


What type of triangle is angle ABC?

ABC angle is an angle,not a triangle!


How many medians are needed to find the centroid of a triangle?

Two. However, you can actually do it with just one. Consider the median AD of triangle ABC. Then the point G, 2/3 of the way from A to D, is the centroid. This process (2/3 of the way from the vertex to the opposite side) can be applied to any median.