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If a median of a triangle is also an altitude of a triangle then is the triangle isosceles?
Wiki User
∙ 14y ago
Yes
Wiki User
∙ 14y ago
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Can an altitude be a perpendicular bisector?
Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle. Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.
What is another name for a equilateral triangle?
An equilateral triangle can also be called a "regular" triangle
What is the approximate length of the base of an isosceles triangle if the congruent sides are 3 feet and the vertex angle is 35 degress?
The median of an isosceles triangle from its apex is also the perpendicular bisector of the base. This line divides the triangle into two congruent right angled triangles whose hypotenuse is 3 feet and whose apical angle is 35/2 = 17.5 degrees. If the base of the original triangle was 2b cm then sin(17.5) = b/3 so that b = 3*sin(17.5) = 0.9cm so that the base was 2b = 1.8 feet Alternatively, you could use the sine rule on the triangle:
An isosceler triangle has two equal sides?
Yes! An isosceles triangle has 2 equal sides and two base angles equal.
How many lines for symmetry does a right angle triangle have?
None, unless it's also isosceles (1.e. 45 degrees for the other two sides).
What triangle has an altitude which is also a median and angle bisector?
An isosceles or an equilateral triangle perhaps?
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.
Are altitudes and medians congruent in the same isosceles triangle?
The altitude for the unequal side is also the corresponding median. This is only true for that one side.
How do you find the perpendicular height of a isoceles triangle?
You can find it by using the Pythagorean theorem if you know the side and the base of triangle. In an isosceles triangle the median is also the altitude. The formula is: (The measure of the side length)^2 - (The measure of the one half of the base length )^2 = (The measure of the altitude)^2. Find the square root of the result that you'll have the measure of the altitude.
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.
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
What does a right triangle and an isosceles triangle have in common?
A right triangle and an isosceles triangle have the fact that they are both triangles in common. A right triangle can also be an isosceles triangle.
How do you find the altitude of a right triangle of an isosceles triangle with370.5 equal sides and a 57 degree 24 sec angle?
A right triangle that is also isosceles cannot have an angle of 57 deg 24 sec unless it is in spherical - as opposed to plane, or flat - space.
Can an altitude be a perpendicular bisector?
Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle. Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.
What is an isosceles triangle on its side called?
it is also an isosceles triangle, it is the same on it's side
What are 2 properties of an isosceles triangle?
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
Can a median triangle also consider as a base?
The median of a triangle cannot be considered as a base of that triangle.
