Question

pA =pd andPB=pc show that triangle pab congruent to triangl pdc​

Answer 1

In Triangle PAB and PDC,
Pa = Pd
Now, Divide by Pb on both sides
So,
Pa/pb = Pd/pb
Or,
Pa/pb = Pd/ pc. [ As pb= pc ]
So hence the sides ar din proportion so
Triangle pab is similar to triangle pdc
So Angle p = Angle p
Now we have the angles equals. So by SAS congruence they are congurent

Answer 2

Answer:

In Triangle PAB and PDC,

PA = PD

Now, Divide by PB on both sides

So,

PA/PB = PD/PB

Or,

PA/PB = PD/ PC. [ As PB= PC ]

So hence the sides are directly proportion so

Triangle PAB is similar to triangle PDC

So Angle P = Angle P

Now we have the angles equals. So by SAS congruence they are congurent

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