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Which point of concurrency is always on the midpoint of the hypotenuse in a triangle?
The circumcenter is always on the midpoint of the hypotenuse when it is in a right triangle.
Where can the perpendicular bisectors of the side of a right triangle intersect?
Only at the midpoint of the hypotenuse.
Prove that the the line segment joining the midpoint of the hypotenuse of a right triangle to the vertex of the right angle is equal to half the hypotenuse?
Simply by measuring it. Or by drawing a circle with a radius of half the hypotenuse and having the vertex of the right angle as its centre and if the midpoint of the hypotenuse just touches the circle then this proves it.
What is hypotenuse in an isosceles triangle?
Only a right triangle has a hypotenuse. An isosceles triangle can be a right triangle but it doesn't have to be. If it's not, then it doesn't have a hypotenuse.
How do you find the hypotenuse of a non right triangle?
By definition, the hypotenuse is the side opposite the right angle in a right angled triangle. Therefore, a hypotenuse does not exist as one of the three sides in a non-right angled triangle.
Which point of concurrency is always on the midpoint of the hypotenuse in a triangle?
The circumcenter is always on the midpoint of the hypotenuse when it is in a right triangle.
Where can the perpendicular bisectors of the side of a right triangle intersect?
Only at the midpoint of the hypotenuse.
Prove that the the line segment joining the midpoint of the hypotenuse of a right triangle to the vertex of the right angle is equal to half the hypotenuse?
Simply by measuring it. Or by drawing a circle with a radius of half the hypotenuse and having the vertex of the right angle as its centre and if the midpoint of the hypotenuse just touches the circle then this proves it.
Does a right-angled triangle have any symmetery?
If it is a 45-45-90 triangle, it will have symmetry from the 90 degree angle to the midpoint of the hypotenuse.
What is the name of the point at which all of the triangle's perpendicular bisectors intersect?
Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.
What is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled triangle.
What is the hypotenuse in a right triangle?
The hypotenuse of a right triangle is the side opposite the right angle. It is the longest of the three sides in the triangle.
The hypotenuse of a right triangle is the side oppossite the?
The hypotenuse of a right triangle is the side opposite the right angle.
What is Hypotenuse Leg?
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
What is The midpoint of the hypotenuse?
The midpoint of the hypotenuse equidistant from all the vertices
What is hypotenuse in an isosceles triangle?
Only a right triangle has a hypotenuse. An isosceles triangle can be a right triangle but it doesn't have to be. If it's not, then it doesn't have a hypotenuse.
Why is the hypotenuse is the longest side of a right triangle?
Yes the Hypotenuse is the longest side in a right angled triangle, the hypotenuse is always opposite the right angle.
