Question

prove that a b square minus a square is equal to CD square minus b square​

Answer 1

HIE FRIEND.

HERE IS YOUR SOLUTION

I HOPE THIS HELPS YOU!

Answer 2

Answer:

Please find the solution in the explanation below

Step-by-step explanation:

Given: Polynomial ABCD with right angles at B and D.

To Prove: $AB^2- AD^2 = CD^2- CB^2$

Construction: Draw the Diagonal AC.

Proof:

In right angled triangle ADC

$AC^2 = AD^2 + CD^2$   (Pythagoras Theorem).................(1)

In right angled triangle ABD

$AC^2 = AB^2 + CB^2$       (Pythagoras Theorem).................(2)

From (1) and (2) we get,

$AD^2 + CD^2 = AB^2 + CB^2$

Re-arranging the above equation, we get-

$AB^2- AD^2 = CD^2- CB^2$

Hence, Proved!

Hope you find this useful. Please rate the answer!