Is a rectangle in which and

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

ABCD

is a rectangle in which

AB = 8\,\text{cm}

and

BC = 6\,\text{cm}

. The diagonals

AC

and

BD

intersect at

O

. Answer the following. (i) Prove that

\triangle AOB \cong \triangle COD

. (ii) Show that the diagonals

AC

and

BD

are equal in length. (iii) Determine the length of each diagonal.