Parallelogram has diagonals and intersecting at the point

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

Problem

Parallelogram

PQRS

has diagonals

PR

and

QS

intersecting at the point

M

. The lengths of the diagonals are

PR = 9.6\text{ cm}

and

QS = 12.4\text{ cm}

. (i) Calculate the lengths

PM

and

RM

. (ii) Calculate the lengths

QM

and

MS

. (iii) Determine the ratio

PM:QM

in its simplest form.