Question

in a rectangle ABCD , prove that .AC^2 + BD^2 = AB^2 + BC ^2 + CD^2 + DA^2​

Answer 1

Step-by-step explanation:

Construction:

Draw line A to C

Draw line B to D

Using Pythogoras Theorem

AC²=AB²+BC² => (1)

BD²=CD²+DA² => (2)

Add Equation (1) to Equation (2)

AC²+BD²=AB²+BC²+CD²+DA²

Proved