In the figure 8.50. AE = BE and angle C = angle D.
Prove that AD = BC.
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Hey mate!!
here's your answer...
Given: in given figure AE=BE and angle C=angle D
To prove: AD=BC
solution : In ∆AEC and ∆BED
angle C= angle D (given)
AE=EB(given)
angle AEC =angle BED(v.opp.angle)
so, ∆AEC and ∆BED are congruent by AAS
then, CE=ED (c.p.c.t)_______{1}
Now adding AD both side in {1}
CE+AD=ED+AD (also AD=BE)
so,CE+BE= ED+AD
BC=AD ......(Hence proved)
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