Answer the following questions related to classifying triangles and quadrilaterals in…
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
Answer the following questions related to classifying triangles and quadrilaterals in the coordinate plane.
(a) Explain why knowledge of only the three side lengths of a triangle is sufficient to decide whether the triangle is right-angled.
(b) A student claims that if all four sides of a quadrilateral are equal in length, the quadrilateral must be a square. Do you agree? Give reasons and mention any additional measurement that should be verified to justify the conclusion.
(c) Illustrate your answer to part (b) by naming the coordinates of four points that form a quadrilateral whose sides are all equal but which is not a square.