Math, asked by svcccc, 1 year ago

in a triangle ABC if the median ad is perpendicular to base BC then prove that the triangle is an isosceles triangle​

Answers

Answered by zaidfahimshaikh
16

Answer:

Step-by-step explanation:

Hey...dude

Given: triangle ABC

Required to prove: ABC is isosceles, i.e. AB=AC

Proof: Using number 2) Median AD perpendicular to BC

In triangle ADB and triangle ADC

AD=AD ( given )

Angle ADB=Angle ADC ( as AD is perpendicular to BC )

BD=DC ( as D divides BC into two equal halves )

Therefore,

Triangle ADB congruent to Triangle ADC

=> AB=AC ( CPCT )

Therefore Triangle ABC is isosceles.

Hence proved.

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zaidfahimshaikh: Hy
zaidfahimshaikh: Dude plz tell right or wrong..
svcccc: how BD =Dc
karthik2737: bro... AD is median
zaidfahimshaikh: ??
zaidfahimshaikh: It's correct
zaidfahimshaikh: Toh
Answered by karthik2737
6

a simple proof... apply pythagorus theorwm

Attachments:

svcccc: how BD=DC
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