prove that median is ½ of hypotenuse
Answers
Answered by
2
median is the half part of hypotenuse because median divides a hypotenuse into two parts and thus makes an equal half
Anonymous:
I think your answer is not right .
what ar u telling
i love u so do u love me????
I am telling that you just read your answer .....I think that is not right.
and what you want to say by your second comment ??
Answered by
1
Right triangle ABC
Draw BD medium from B to D i.e D will be mid point of AC.
Now const. DE parallel to BC .
......now E will also be mid point of AB ( by mid point theorem.)
Congruent triangle AED and BDE by SAS
.....you will get BD = AD. by cpct .
also AD = DS
thus AD = BD= DC.
it is proved that BD = 1/2 AC.
means 1/2hypo = median.
Draw BD medium from B to D i.e D will be mid point of AC.
Now const. DE parallel to BC .
......now E will also be mid point of AB ( by mid point theorem.)
Congruent triangle AED and BDE by SAS
.....you will get BD = AD. by cpct .
also AD = DS
thus AD = BD= DC.
it is proved that BD = 1/2 AC.
means 1/2hypo = median.
It may help you.......if else there is any problem then discuss with me ok.
thanks
Similar questions