Question

In a quadrilateral ABCD if angleA=angleCDB=90 degreethen prove that AD^2 + AB^2 +CD^2 =BC^2

Answer 1

Answer:

Step-by-step explanation:

angle A = 90° (given)

=> AB^2 + AD^2 = BD^2 (Pythagoras theorem) ----------------------(1)

In ∆BDC, Using Pythagoras Theorem,

BD^2 + CD^2 = BC^2

=> AB^2 + AD ^2 + CD^2 =BC^2 [From (1)]

                                                Hence Proved