Question

In the fig MORE in a parallelogram and RN perpendicular ME and MP perpendicular ER , if MO = 16cm , MP = 8cm and RN =10cm then find the value of ME​

Answer 1

Pythagorean theorem

n=90°

Rn =ER+ NE

100-256=NE

NE=√-156

12.48

NE=1/2ME

ME==24.97 ANS..

Answer 2

Given :

MORE is a parallelogram

RN is perpendicular to ME

MP is perpendicular to ER

MO = 16 cm

MO = 8cm

RN = 10 cm

To Find : Length of ME

Solution :

•MORE is a parallelogram

MO = ER

•since , opposite sides of parallelogram are equal and parallel.

•Moreover ,

Area of parallelogram is product of length of base & height.

•When, taking ER as Base & MP as a height of parallelogram then,

ER = 16

MP = 8

Area of parallelogram = B×H

Area of parallelogram = 16×8

Area of parallelogram = 128 cm²

•When, taking ME as Base & RN as a height of parallelogram then,

RN = 10 cm

ME = a cm ____(say)

Area of parallelogram = B×H

Area of parallelogram = 10×a

Area of parallelogram = 10a cm²

•Also , Area of parallelogram MORE is 128 cm²

=> 128 = 10 a

=> a = 12.8 cm

•Length of MN is 10 centimetre