1. AABC is an isosceles triangle with AB = AC . An altitude AD is drawn on B
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A
B.
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In tringle ABD & ACD
AB=AC (GIVEN)
ANGLE ADB=ANGLE ADC(BOTH ARE RIGHT ANGLES)
AD=AD(COMMON)
SO BOTH THE TRIANGLES ARE CONGRUENT
THEREFORE BD=CD(CPCT)
ANGLE BAD=ANGLE CAD(CPCT)
HENCE AD BISECTS BOTH BC AND ANGLE A
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7th
Maths
The Triangle and Its Properties
Isosceles and Equilateral Triangles
If ABC is an isosceles tria...
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Asked on December 20, 2019 by
Saraswati Pooja
If ABC is an isosceles triangle with AB=AC and AD is an altitude, then
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ANSWER
In tringle ABD & ACD
AB=AC (GIVEN)
ANGLE ADB=ANGLE ADC(BOTH ARE RIGHT ANGLES)
AD=AD(COMMON)
SO BOTH THE TRIANGLES ARE CONGRUENT
THEREFORE BD=CD(CPCT)
ANGLE BAD=ANGLE CAD(CPCT)
HENCE AD BISECTS BOTH BC AND ANGLE A
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