Solve 28
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(a)The three pairs are:
1.BD=CD.
2.AB=AC.
3.AD=AD(Common).
(b)Yes,∆ADB is congruent to ∆ADC.Bcoz,
BD=CD
AB=AC
AD=AD(Common)
By SSS congruency,
∆ADB is congruent to ∆ADC.
(c)Perpendicular from vertex of an isosceles ∆ bisects the base.
So,BD=DC
1.BD=CD.
2.AB=AC.
3.AD=AD(Common).
(b)Yes,∆ADB is congruent to ∆ADC.Bcoz,
BD=CD
AB=AC
AD=AD(Common)
By SSS congruency,
∆ADB is congruent to ∆ADC.
(c)Perpendicular from vertex of an isosceles ∆ bisects the base.
So,BD=DC
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AD is perpendicular to BC so BD=CD
In triangle ADB andADC
AB=AC (given) AD=AD(common)
so by S.S.S triangle ADB is congruent to triangle ADC
BD=CD as AD dividesBC into two equal halves and is perpendicular to BC
In triangle ADB andADC
AB=AC (given) AD=AD(common)
so by S.S.S triangle ADB is congruent to triangle ADC
BD=CD as AD dividesBC into two equal halves and is perpendicular to BC
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