In parallelogram the diagonals and intersect at .

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

Problem

In parallelogram

ABCD

the diagonals

AC

and

BD

intersect at

O

. (a) If

AO = 5y - 1

and

OC = 2y + 14

, write an equation connecting

AO

and

OC

. (b) Solve the equation to find the value of

y

. (c) Hence find the lengths of

AO

and of the complete diagonal

AC