in a triangle ABC if the median ad is perpendicular to base BC then prove that the triangle is an isosceles triangle
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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:
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Answered by
6
a simple proof... apply pythagorus theorwm
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