Question

Diagonal of square and rectangle formula

Answer 1

Diagonals of a square A square has two diagonals, which are line segments linking opposite vertices(corners) of the square.Try this Drag any vertex of the square below. It will remain a square and the length of the diagonal will be calculated.A square has two diagonals. Each one is a line segment drawn between the oppositevertices (corners) of the square. The diagonals have the following properties:The two diagonals are congruent (same length). In the figure above, click 'show both diagonals', then drag the orange dot at any vertex of the square and convince yourself this is so.Each diagonal bisects the other. In other words, the point where the diagonalsintersect (cross), divides each diagonal into two equal partsEach diagonal divides the square into two congruent isosceles right triangles. Because the triangles are congruent, they have the same area, and each triangle has half the area of the square.

Answer 2

Diagonal of square = √2a2
diagonal of rectangle = √a2 + b2