the two opposite vertices of a square are (3,2)and (7,6) find coordinates of other two vrtices - Maths - Arithmetic Progressions

Question

the two opposite vertices of a square are (3,2)and (7,6) find
coordinates of other two vrtices

Priyanka Kedia · Accepted Answer

Let ABCD be a square and let A (3, 2) and C (7, 6) be the given points Let B(x1, y1) and D(x2, y2) is the unknown vertex Since, square have equal sides, Therefore,

In triangle ABC, we have,

Substituting the value of x1 from equation (1) into equation (2), we get,

Substitute values of y1 in equation (1), we get,

Hence, other two vertices are B (3, 6) and D (7, 2)

the two opposite vertices of a square are (3,2)and (7,6) . find coordinates of other two vrtices.