Answer the questions above in the attachment !
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Step-by-step explanation:
To prove= triangle ABC is an isosceles
As
BD=DC(AD is perpendicular bisector of BC)
AD=AD(Common)
Angle ABD= Angle ADC = 90(perpendicular)
BY SAS CONGRUENCE RULE:-
Triangle ADB is congruent to triangle ADC
BY CPCT, AB=AC
Hope it helps!
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Answered by
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Let the sign for congruence be '='.
In ∆ADB and ∆ADC,
seg AD = seg AD ...(Common side)
Angle ADB = Angle ADC ...(Both 90 degrees)
Angle BAD = Angle CAD ...(seg AD bisects angle BAC - Given)
Thus, ∆ADB = ∆ADC ...(i) (SAA Test of congruence of triangles)
Thus, from equation (i), we can conclude,
seg AB = seg AC ...(ii) (Congruent sides of congruent triangles)
Now, in ∆ABC,
side AB = side AC ...[From (ii)]
Thus, ∆ABC is an isosceles triangle in which AB = AC.
Hope this helps.....
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