Maths / Coordinate Geometry / Distance Formula
Prove that the points (4,4),(3,5) and (-1,-1) are the vertices of a right angled triangle.
| Explain Type||Explanation Content|
Let the points (4,4) , (3,5) and (-1,-1) be denoted by P, A and R , respectively.
We observe that the sum of square of two sides , PQ and PR ids equal to the square of the third side QR i.e.,
If follows from the converse of the Pythagoras theorem that the triangle PQR is a right triangle and the right angle is at P.
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)