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GIVEN:
in triangle ABC
DE are points on the side BC
BD=CE
AD=AE
If AD=AE the triangle ADE is an isoceles triangle
therefore angleADE=angleAED
In traingleABD and triangle AEC
BD=CE(given)
AD=AE(given)
angle ADB=angleAEC(If angle ADE=angleAED
then angleADB=angleAEC)
therefore
triangleABC =~ triangleAEC
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