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
Answers
Pythagorean theorem
n=90°
Rn =ER+ NE
100-256=NE
NE=√-156
12.48
NE=1/2ME
ME==24.97 ANS..
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