Question

ABC is isosceles with AB = AC. AD is the altitude
from A to side BC
a) İS ABD = ACO by RHS congruence condition ?
b) State the pairs of corresponding parts you have used to
(c). IS BD = DC? why?
B
D
"C
answer(a).​

Answer 1

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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