Question

given ed =ec prove ab+ad>bc

Answer 1

Prove that AB + AD > BC

Step-by-step explanation:

Given that,

ED = EC

To prove:

AB + AD  > BC

In the given △CEB ,

CE + EB > BC (the sum of two sides of a triangle is greater than the third side)

DE + EB > BC  .......(because CE = DE )

or DB > BC .........(1)

In △ABD ,

AB + AD > BD

or

AB + AD > BC ......from (1)

Hence, it is proved that AB + AD > BC

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