Home
Class 12
MATHS
Prove that the points (1,-3,1),(0,1,2) a...

Prove that the points `(1,-3,1),(0,1,2)` and `(2,-1,3)` are the vertices of a rigt angle isosceles triangle.

Text Solution

Verified by Experts

The correct Answer is:
Therefore the given points are the vertices of a rigt angled isosceleds triangle.
NA
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Show that the points (0,7,10), (-1,6,6) and (-4,9,6) are the vertices of a right angled isosceles triangle.

Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of an isosceles right angled triangle

Show that the points (2,1) (0,0) (-1,2) and (1,3) are the vertices of a square.

Calculating the angle of the triangle, prove that the points A(3, 4, -1) , B(1, 5, 1) and C(1, 2, -2) are the vertices of an isosceles triangle.

Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Prove that the points (-1,5) , (3,2) and (-1,-1) are the vertices of an isosceles traigle . Find the coordinates of its centroid.

Prove that A(3,3) B (8,-2) and C(-2,-2) are the vertices of a right - angled isosceles triangle . Also, find the length of the hypotenuse of triangle(ABC)

Show that the points A=(2,-1,1),B=(1,-3,-5) and C=(3,-4,-4) are vertices of a right angled triangle (using vector method).

Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the vertices of a parallelogram. Is it a rectangle ?